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If the function P is graphed, find and interpret the slope of the function.

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When will the population reach 100,000?

Ten years after the model began

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What is the population in the year 12 years from the onset of the model?

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For the following exercises, consider this scenario: The weight of a newborn is 7.5 pounds. The baby gained one-half pound a month for its first year.

Find the linear function that models the baby’s weight W as a function of the age of the baby, in months, t .

W ( t ) = 0.5 t + 7.5

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Find a reasonable domain and range for the function W .

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If the function W is graphed, find and interpret the x - and y -intercepts.

( 15 , 0 ) : The x -intercept is not a plausible set of data for this model because it means the baby weighed 0 pounds 15 months prior to birth. ( 0 , 7 . 5 ) : The baby weighed 7.5 pounds at birth.

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If the function W is graphed, find and interpret the slope of the function.

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When did the baby weight 10.4 pounds?

At age 5.8 months

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What is the output when the input is 6.2?

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For the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025 people were inflicted.

Find the linear function that models the number of people inflicted with the common cold C as a function of the year, t .

C ( t ) = 12 , 025 205 t

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Find a reasonable domain and range for the function C .

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If the function C is graphed, find and interpret the x - and y -intercepts.

( 58 . 7 , 0 ) : In roughly 59 years, the number of people inflicted with the common cold would be 0. ( 0 , 12 , 0 25 ) Initially there were 12,025 people afflicted by the common cold.

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If the function C is graphed, find and interpret the slope of the function.

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When will the output reach 0?

2063

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In what year will the number of people be 9,700?

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Graphical

For the following exercises, use the graph in [link] , which shows the profit, y , in thousands of dollars, of a company in a given year, t , where t represents the number of years since 1980.

Graph of a decreasing line from (15, 150) to (25, 130).  The x-axis goes from 0 to 30 in intervals of 5 and the y-axis goes from 125 to 155 in intervals of 5.

Find the linear function y , where y depends on t , the number of years since 1980.

y = 2 t +180

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Find and interpret the y -intercept.

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Find and interpret the x -intercept.

In 2070, the company’s profit will be zero.

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Find and interpret the slope.

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For the following exercises, use the graph in [link] , which shows the profit, y , in thousands of dollars, of a company in a given year, t , where t represents the number of years since 1980.

Graph of a line from (15, 150) to (25, 450).  The x-axis goes from 0 to 30 in intervals of 5 and the y-axis goes from 0 to 500 in intervals of 50.

Find the linear function y , where y depends on t , the number of years since 1980.

y = 3 0 t 3 00

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Find and interpret the y -intercept.

( 0 , 300 ) ; In 1980, the company lost $300,000.

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Find and interpret the x -intercept.

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Find and interpret the slope.

y = 30 t 300 of form y = m x + b , m = 30.

For each year after 1980, the company's profits increased $30,000 per year

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Numeric

For the following exercises, use the median home values in Mississippi and Hawaii (adjusted for inflation) shown in [link] . Assume that the house values are changing linearly.

Year Mississippi Hawaii
1950 $25,200 $74,400
2000 $71,400 $272,700

In which state have home values increased at a higher rate?

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Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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Source:  OpenStax, College algebra. OpenStax CNX. Feb 06, 2015 Download for free at https://legacy.cnx.org/content/col11759/1.3
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