Real-Life Function Problems: Graphs & Word Translations

A car's distance from home is represented by the function d(t) = 50t, where d is in miles and t is in hours. How far will the car be from home after 3 hours?

• 75 miles

• 100 miles

• 150 miles

• 200 miles

The temperature in a city over a day can be modeled by the function T(h) = -2h^2 + 24h, where T is the temperature in degrees Celsius and h is the number of hours since midnight. What is the maximum temperature reached during the day?

• 72

• 80

• 50

• 60

A company's profit P(x) can be modeled by the function P(x) = 200x - 50x^2, where x is the number of products sold. How many products should the company sell to maximize profit?

• 1

• 3

• 5

• 2

The height of a ball thrown into the air can be modeled by the function h(t) = -16t^2 + 32t + 5, where h is the height in feet and t is the time in seconds. At what time does the ball reach its maximum height?

• 1

• 0

• 2

• 3

A plant grows according to the function G(d) = 3d + 2, where G is the height in centimeters and d is the number of days. How tall will the plant be after 10 days?

• 28 cm

• 25 cm

• 32 cm

• 30 cm

The cost C of producing x items is given by the function C(x) = 5x + 100. What is the cost of producing 20 items?

• 150

• 250

• 300

• 200

A population of rabbits can be modeled by the function R(t) = 100e^(0.1t), where R is the population and t is the time in years. What will the population be after 5 years?

• 150

• 120

• 200

• 165

The speed of a car is represented by the function S(t) = 60 + 5t, where S is the speed in miles per hour and t is the time in minutes. What will be the speed of the car after 10 minutes?

• 90 miles per hour

• 110 miles per hour

• 100 miles per hour

• 120 miles per hour

A water tank is filled according to the function V(t) = 100 - 2t, where V is the volume in liters and t is the time in minutes. How much water is left in the tank after 30 minutes?

• 80 liters

• 60 liters

• 40 liters

• 20 liters

The area A of a rectangle can be modeled by the function A(l) = l(10 - l), where l is the length in meters. What length will maximize the area of the rectangle?

• 10 meters

• 7 meters

• 3 meters

• 5 meters