Using Accumulation Functions and Definite Integrals in Applied Contexts

• 53.4° F

• 54.5°F

• 65.5°F

• 66.6°F

• 9.565

• 10.010

• 10.841

• 12.117

The rate at which ants arrive at a picnic is modeled by the function A, where A(t) is measured in ants per minute and t is measured in minutes. The graph of A

for 0≤t≤30 is shown in the figure above. How many ants arrive at the picnic during the time interval 0≤t≤30?

• 8

• 70

• 120

• 140

• 15

• 288

• 412

• 685

• The rate at which the square inches are being painted 

• The amount in square pinches are painted during the 5 hours 

• The amount in square pinches are painted during the 5 minutes 

• The amount of paint used in the first 5 minutes 

• The rate at which the water is being poured in after the first 3 seconds. 

• Total amount of water in the container after the first 3 seconds 

• How much water has been poured into the container during the first three seconds. 

• 86.2 ounces

• 101.2 ounces

• 75.1 ounces

• 85.1 ounces

• 86.2 ounces

• 101.2 ounces

• 75.1 ounces

• 85.1 ounces

The rate at which people arrive at a theater box office is modeled by the function B

, where B(t)

is measured in people per minute and t

is measured in minutes. The graph of B

for 0≤t≤20

is shown in the figure above. Which of the following is closest to the number of people that arrive at the box office during the time interval 0≤t≤20

?

• 15

• 38

• 150

• 188