Initial Value Rate of Change Word Problems

Solve the word problem using initial value and rate of change: A car rental company charges a flat fee of $40 and an additional $30 per day for renting a car. How much will it cost to rent a car for 3 days?

• $50 + ($20 * 3) = $110

• $60 + ($40 * 3) = $180

• $40 + ($30 * 3) = $130

• $40 + ($30 * 2) = $100

Analyze the word problem involving initial value and rate of change: A delivery service charges a base fee of $10 and an additional $5 for every 10 miles traveled. How does the total cost change as the distance increases?

• The total cost increases by $10 for every 10 miles traveled.

• The total cost remains the same regardless of the distance traveled.

• The total cost increases by $5 for every 10 miles traveled.

• The total cost decreases by $5 for every 10 miles traveled.

Identify the initial value in the following word problem: A car rental company charges a flat fee of $50 and an additional $20 per day for renting a car.

• $100

• $10

• $30

• $50

Identify the initial value in the following word problem: A phone plan has a base cost of $30 and an additional $10 per gigabyte of data used.

• $5

• $20

• $40

• $30

What is the rate of change for the following function?

• 1 gallon of blue per gallon of yellow

• 5 gallons of blue per gallons of yellow

Tags

TEKS.MATH.8.4A

TEKS.MATH.8.4B

What is the rate of change and initial value?

• Rate of Change = 3 Initial Value = 8

• Rate of Change = 8 Initial Value = 3

Who has the greater rate of change?

• They have the same rate of change.

From the table, what is the rate of change we see happening? (Select all that apply)

• Increase of $75 per adult

• Increase of $375 per 5 adults

• Increase of $150 per 3 adults

• Increase of $2 per 150 adults

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Shawn recently went skydiving for his birthday. The relationship between the time in seconds, x, and his elevation in feet, y, is shown in the table below. Find the rate of change and explain its meaning.

• 12,500; Shawn ascends at a rate of 12,500 feet per second.

• -175; Shawn descends at a rate of 175 feet per second.

• -175; Shawn's initial height is -175 feet.

• 12,500; Shawn's initial height is 12,500 feet.