Mth 96 Final Exam Review, Mulleary Fall 2015
1. Consider the weight of a truck modeled by the function: W  520B  28450
W is the net weight of the truck in pounds
B is the number of beams it is hauling
a. State the slope. Explain its meaning in context in a complete sentence.
b. Find the y-intercept. Explain its meaning in context in a complete sentence.
c. Find the truck’s weight if it is hauling 62 beams. Show the initial setup equation. Give your answer in context
in a complete sentence.
d. Find the number of beams that can be loaded to stay under a 70,000 pound weight limit. Show the initial
setup equation. Give your answer in context in a complete sentence.
2. Consider the path of a bullet modeled by the function: h  5.9t 2  266t  7
t is the time in seconds
h is the height in feet.
a. Find the maximum height, to the nearest tenth, the bullet reaches using the vertex formula x 
b
. Show
2a
the initial setup equation. Give your answer in context in a complete sentence.
b. Find the y-intercept. Show the initial setup equation. Give you answer in context in a complete sentence.
c. Find the slope between 3 and 4 seconds to the nearest tenth. Show the initial setup equations. Explain its
meaning in context in a complete sentence.
d. Calculate the x-intercept to the nearest second. Show the initial setup equations. Explain its meaning in
context in a complete sentence.
e. Find the height to the nearest tenth at 32 seconds. Show the initial setup equation. Answer in context in a
complete sentence.
f.
Find the times to the nearest second the bullet is at 2000 feet. Show the initial setup equations. Answer in
context in a complete sentence.
3. Consider the number of people who have a land line phone modeled by the function:
p  86200  0.84t
t is the time in years
p is the number of people in a town with a land line.
a. Find the number of people, to the nearest whole number, that you would expect to still have a land line in
12 years. Show the initial setup equation. Answer in context in a complete sentence.
b. Find the time to the nearest year it will take for there to be 25,000 people with a land line. Show the initial
setup equation. Answer in context in a complete sentence.
c. State the growth rate and explain it meaning in context in a complete sentence.
d. Find the y-intercept and explain its meaning in context in a complete sentence.
e. Find the slope to the nearest whole number between years 6 and 7. Show the initial set up equations.
Answer in context in a complete sentence.
4. Consider the flow of water through a pipe modeled by the function:
f  16d 0.473
d is the diameter of the pipe in inches, f is the flow in gallons per minute (GPM).
a. Find the flow, to the nearest whole number, for a 4 inch diameter pipe. Show the initial setup equation.
Answer in context in a complete sentence.
b. Find the diameter of pipe, to the nearest whole number, necessary to carry 40 GPM. Show the initial setup
equation. Answer in context in a complete sentence.
c. Find the slope between the 2 and 3 inch diameters. Show the initial setup equations. Explain its meaning in
context in a complete sentence. Round answers to the nearest tenth.
5. Consider the number of dogs who have been vaccinated modeled by the function: d  54  26.8ln t
t is the time in days, d is the number of dogs
a. Find the number of dogs, to the nearest whole number, you would expect to be vaccinated by day 7. Show
the initial setup equation. Answer in context in a complete sentence.
b. Find the time, to the nearest whole number, it will take for 150 dogs to be vaccinated. Show the initial setup
equation. Answer in context in a complete sentence.
c. Find the slope between the days 4 and 5. Show the initial setup equations. Explain its meaning in context in
a complete sentence. Round answers to the nearest tenth.
6. The chart shows the effect of different dosages of Lipitor on a patient’s cholesterol.
a. Graph the data from the table on your calculator using
state plot and zoom stat. Sketch the data points using
the grid provided.
b. Based on the graph, list the possible models that
might fit the data.
c. Use regression for each of the models listed in b. Give the r value out five places
for each of the possible models. If the r value is not provided for one of your models, use the r2 value for ALL
of them.
d. Which model do you think fits the data best? Think it through. You will have to justify your answer in
question “f”. Give the equation (rounded to 3 decimal places) for your selection.
e. On your calculator, graph the equation (trendline) of the model you selected.
Sketch the graph.
f.
Using the ERC tools, why did you choose your model?
E
R
C
g. Use your equation to find the cholesterol level (to the nearest tenth) you would expect if the patient takes
50 mg of Lipitor. Show the setup equation. Answer in context in a complete sentence.
h. Use your equation to find the dosage (rounded to the nearest whole number) that would be required to get
the cholesterol level down to 110 mg/dL. Show the setup equation. Answer in context in a complete
sentence.
7. The chart shows the effect of wind speed on a road sign.
a. Graph the data from the table on your calculator using
state plot and zoom stat. Sketch the data points using
the grid provided.
b. Based on the graph, list the possible models that
might fit the data.
c. Use regression for each of the models listed in b. Give the r value out five places for each of the possible
models. If the r value is not provided for one of your models, use the r2 value for all of them.
d. Which model do you think fits the data best? Think it through. You will have to justify your anser in question
“f”. Give the equation (rounded to 3 decimal places) for your selection.
e. On your calculator, graph the equation (trendline) of the model you selected.
Sketch the graph.
f.
Using the ERC tools, why did you choose your model?
E:
R:
C:
g. Using your equation, find the force, to the nearest whole number, for a 40 MPH wind. Show the initial setup
equation. Answer in context in a complete sentence.
h. Using your equation, find the wind speed, to the nearest tenth, required to produce 300 pounds of force on
the sign. Show the initial setup for the equations. Answer in context in a complete sentence.