Real-Life Applications: Linear & Quadratic Functions Quiz

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear function to represent the total cost (C) in terms of miles driven (m). What is the cost if you drive 150 miles?

• $60

• $120

• $100

• $80

A gardener is planting a rectangular garden. The length of the garden is 3 meters more than twice the width. If the width is w meters, write a quadratic equation to represent the area (A) of the garden. What is the area if the width is 4 meters?

• 50 square meters

• 36 square meters

• 44 square meters

• 32 square meters

A ball is thrown upwards from a height of 1.5 meters with an initial velocity of 10 meters per second. The height (h) of the ball after t seconds can be modeled by the equation h(t) = -4.9t^2 + 10t + 1.5. How long will it take for the ball to hit the ground?

• 1.75 seconds

• 3.10 seconds

• 4.50 seconds

• 2.24 seconds

A store's sales can be modeled by the function S(t) = 500 + 150t, where S is the sales in dollars and t is the time in months. What is the sales after 6 months?

• 1400

• 1800

• 1200

• 1600

The height of a projectile is modeled by the equation h(t) = -16t^2 + 32t + 48. Determine the time at which the projectile reaches its maximum height.

• 1

• 0.5

• 3

• 2

A population of bacteria doubles every 3 hours. If the initial population is 200, write an exponential function to represent the population after t hours. How many bacteria will there be after 9 hours?

• 400

• 3200

• 800

• 1600

A train travels at a constant speed of 60 miles per hour. Write a linear equation to represent the distance (d) traveled in terms of time (t) in hours. How far will the train travel in 2.5 hours?

• 200 miles

• 150 miles

• 180 miles

• 120 miles

The area of a triangle is given by the formula A = 1/2 * base * height. If the base is 10 meters and the height is represented by a quadratic function h(b) = b^2 - 4b + 8, find the area when the base is 10 meters.

• 340 square meters

• 100 square meters

• 50 square meters

• 200 square meters

A company's profit can be modeled by the equation P(x) = -2x^2 + 12x - 10, where P is the profit in thousands of dollars and x is the number of units sold. How many units should be sold to maximize profit?

• 4

• 3

• 5

• 2

A water tank is being filled at a rate of 5 liters per minute. If the tank starts with 20 liters, write a linear function to represent the total volume of water (V) in the tank after t minutes. How much water is in the tank after 15 minutes?

• 100 liters

• 95 liters

• 75 liters

• 80 liters