Graphing Functions for Modeling

The function h(d) = 2d + 4.3 relates the h height of the water in a fountain in feet to the d diameter of the pipe carrying the water. Graph the function on a calculator and use the graph to find the height of the water when the pipe has a diameter of 6.5 inches.

• 6.5 feet

• 13 feet

• 17.3 feet

• 10.8 feet

A car travels at a speed of 25 miles per hour. The d distance it travels in h hours is given by the equation d = 25h. Write the equation as a function. Use a calculator to graph the function. What is the meaning of the point (3.5, 87.5) on the graph?

• The car travels 3.5 miles in 87.5 hours.

• The car increases speed from 3.5 mph to 87.5 mph.

• The car can go 87.5 miles on a 3.5 gallons of gas.

• The car travels 87.5 miles in 3.5 hours.

The formula for finding the distance traveled by a free-falling object is D = 16t², where t is the time in seconds. Use a calculator to graph this function Use the graph

to find how much time it takes the object to fall 325 feet.

• About 4.5 seconds

• About 10 seconds

• About 2 seconds

• About 6 seconds

Kyle opened a bank account with $450. Each week he deposits $58.50. Write a function that shows the amount Kyle has after w weeks.

• f(w) = 450w + 58.50

• f(w) = (450 + 58.50)w

• f(w) = 450 + 58.50w

• f(w) = 450w - 58.50

A cup is filled with 100 milliliters of water. Every second, 2 milliliters of water are poured out of the cup. Which function shows the amount of water in the cup after t seconds?

• w(t) = 100 + 2t

• w(t) = 100 - 2t

• w(t) = 2t - 100

• w(t) = 100t + 2t

Raj opens his bank account with $500. He deposits $50 each month. If Raj does not withdraw any money, how long will it take until he has $4000 in the account

• 80 months

• 70 months

• 5 years

• 10 years

The charge in dollars for cab rides in one city is modeled by f(m) = 4 + 2.5m, when m is the number of miles traveled. What is the charge for a 10-mile ride?

• $25

• $6.50

• $29

• $16.50

The charge in dollars for cab rides in one city is modeled by f(m) = 4 + 1.25m, when m is the number of miles traveled. What is the farthest distance a person could ride if she has $50?

• 36 miles

• 50 miles

• 25 miles

• 40 miles

Ann started reading a book that is 300 pages long. She reads 40 pages a day. Which function shows how many pages Ann has left after d days?

• f(d) = 40d - 300

• f(d) = 300d - 40

• f(d) = 300 + 40d

• f(d) = 300 - 40d

Which function situation would have a continuous graph?

• amount of water in a cup over time

• number of students at a very large high school

• total number of apples in a number of sacks

• number of correct answers on a series of tests