Real-Life Functions: Graphing Exponential Growth & More

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear function to represent the total cost of renting a car for 'x' miles. How much would it cost to drive 150 miles?

• $90

• $60

• $75

• $45

A gardener is planting a new type of flower that grows exponentially. If the number of flowers doubles every week, and he starts with 5 flowers, how many flowers will he have after 4 weeks? Graph the exponential function that represents this growth.

• 80

• 20

• 40

• 100

A ball is thrown upwards from a height of 2 meters with an initial velocity of 10 m/s. The height 'h' of the ball after 't' seconds can be modeled by the quadratic function h(t) = -5t^2 + 10t + 2. What is the maximum height the ball reaches?

• 10 meters

• 7 meters

• 5 meters

• 3 meters

A population of bacteria grows according to the function P(t) = 100e^(0.3t), where 't' is time in hours. How many bacteria will there be after 5 hours?

• 300

• 500

• 600

• 448

A store's sales can be modeled by the function S(x) = 200 + 50x, where 'x' is the number of months since the store opened. What will the sales be after 12 months?

• 800

• 600

• 400

• 1000

A rocket's height above the ground can be modeled by the function h(t) = -16t^2 + 64t + 80. How long will it take for the rocket to hit the ground?

• 5 seconds

• 3 seconds

• 10 seconds

• 7 seconds

A new technology company has a growth rate modeled by the function G(t) = 500(1.05)^t, where 't' is the number of years since the company was founded. How much will the company be worth after 10 years?

• 600 million

• 750 million

• 900 million

• 814.45 million

A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 54 square meters, write a quadratic equation to find the dimensions of the garden. What are the dimensions?

• Width: 7 meters, Length: 10 meters

• Width: 6 meters, Length: 9 meters

• Width: 5 meters, Length: 8 meters

• Width: 4 meters, Length: 7 meters

A bank offers an investment that grows according to the function A(t) = 1000(1 + 0.04)^t. How much money will be in the account after 5 years?

• 1216.65

• 1100.50

• 1000.00

• 1500.00

A cyclist travels at a speed of 15 km/h. If the distance 'd' traveled can be modeled by the linear function d(t) = 15t, where 't' is time in hours, how far will the cyclist travel in 3 hours?

• 60 km

• 45 km

• 75 km

• 30 km