Determine the Rate of Change and Initial Value

Vinhs pays a convenience fee when he reserves movie tickets on his cell phone. The app shows him the total cost of his purchase for different numbers of tickets.

What is the initial value?

Mathematical Equivalence

ON

This table shows the value of linear function f(x) for different values of x.
A student graphed the line that represents f(x) on a coordinate plane.
Which statement about the graph of f (x) is true?
The slope of the line is (a)   .

The y-intercept of the line is ​ (b)   .

• positive

• negative

Jackson goes to a basketball game. He pays $3 for a student ticket and $1 per item bought at the concession stand. Drag the points to correctly graph the problem. Hint: What is slope? What is y-intercept?

Answer explanation

b = $3 for a student ticket

m = $1 per item at concession stand

So the equation is y = x+ 3

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

The following equation represents the amount of miles Mr. Parola runs each day as he progresses through his 10-mile runner app. What is the initial value?

• 2

• 2 miles

The following table represents the amount of money in a savings account over time.

How much money was in the account when it was started (i.e. initial value)?

• 75

• 77

• $75

• $77

Determine the rate of change.

• $75

• $77

The table represents the height of a candle as it burns.

Determine the rate of change.

The table represents the height of a candle as it burns.

Determine the unit rate.

The graph represents the height of a paper airplane falling.

Determine the rate of change.

• 60 feet