Analyzing Linear Functions

Front

A school wants to rent a cotton candy machine for a fundraiser. There is a deposit to rent it plus an additional $8 per hour. The total cost to rent the machine for 5 hours is $115. What is the rate of change and how much is the deposit?

Back

Rate of Change: $8/1 hr; Deposit Fee: $75

Front

The art club collected $15 per member. The amount of money in the account after dues were collected from 17 members was $300. Assume the relationship is linear. Find and interpret the initial value.

Back

The art club had $45 to begin with.

Front

Before a movie began, a theater had people waiting in the seats. During each of 4 movie trailers, 7 more people came into the theater. When the movie started 82 people were in the theater. Assume the relationship is linear. Find and interpret the initial value.

Back

The theater had 54 people to start with.

Front

The population of DeSoto rose an average of 142 people per year. After 5 years, the population was 5,428 people. Assume the relationship is linear. Find and interpret the rate of change and the initial value.

Back

ROC: The population INCREASED by 142 people per year.

Initial value: There were 4,718 people in the town to start with.

Front

Which equation best represents the relationship between x and y in the table shown? Options: y= 5x+5, y=1/5x+5, y=15x+5, y=10x+5

Back

y= 5x+5

Front

Why is the equation y = 1/2x + 5 incorrect?

Back

The slope is -2, the equation should be y = -2x + 5

Front

Find the slope of the line.

Back

4

Front

Find the slope.

Back

3/2

Front

Equation for the graph: y = ⅔ x + 3, y = -⅔ x + 3, y = ⅔ x - 3, y = -⅔ x - 3

Back

y = ⅔ x + 3

Front

Which situation is described by the equation y = -25x + 120? Options: 1. 120 people in a stadium, 25 entering each hour. 2. Plumber charges $25 for a call, $120 per hour. 3. Teacher has 120 students, 25 in third period. 4. 120 gallons in a tank, releases 25 gallons per minute.

Back

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