Modeling Situations Using Linear Relationships

Based on the table, determine the rate of change for the situation.

• There are 10 candles burning for 10 hours.

• The candle starts at 10 inches tall and after 10 hours it is burned out.

• For every hour that goes by, the candle loses an inch in height.

• The candle burns an inch every hour.

What is the equation for the Taxi Cab situation?

• y = .3x

• y = x + .3

• y = .3x + 1

• y = .3x - 1

Determine the rate of change for the graph above.

• 100/25

• 2/1

• 20/0

• 40/10

Which situation could match the depicted graph?

• The rate of change is a loss of one gallon each hour

• The rate of change is an increase in temperature related to time

• The rate of change describes gas mileage related to engine size

• The rate of change is a constant 25 miles per hour

• 12

• 13

• 14

• 18

• 4

• 10.75

• 11.75

• 12.75

The cost of the school uniform for a private school has consistently increased since the year 2020. The table below shows the cost (y) of the uniform x years after 2020. Which function models the relationship between the number of years (x) and the cost (y) of the uniform?

Based on the information in the table, which equation can be used to model the relationship between x and y?

• y = 5x

• y = x + 5

• y = x +470

• y = 94x

Which equation models the relationship in the table?

What function models the relationship between the number of packs of diapers, x, and the total cost, f(x)?

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