Question

1. identify the unit rate in the graph. explain what the unit rate means in the context of the situation.
2. identify the unit rate in the graph. explain what the unit rate means in the context of the situation.
3. identify the unit rate in the graph. explain what the unit rate means in the context of the situation.

Explanation:

Step1: Calculate unit rate for graph 1

Unit rate = $\frac{\text{Cost}}{\text{Number of boxes}} = \frac{16}{4} = 4$

Step2: Explain graph 1 unit rate

This means each box of cupcakes costs $4.

Step3: Calculate unit rate for graph 2

Unit rate = $\frac{\text{Cost}}{\text{Number of gallons}} = \frac{15}{3} = 5$

Step4: Explain graph 2 unit rate

This means each gallon of milk costs $5.

Step5: Calculate unit rate for graph 3

Unit rate = $\frac{\text{Change in miles left}}{\text{Change in hours}} = \frac{400-500}{5-0} = -100$

Step6: Explain graph 3 unit rate

This means 100 miles are covered per hour, so miles left decrease by 100 each hour.

Answer:

1. Unit rate: $\$4$ per box of cupcakes. Context: Each box of cupcakes costs $\$4$.
2. Unit rate: $\$5$ per gallon of milk. Context: Each gallon of milk costs $\$5$.
3. Unit rate: $-100$ miles per hour. Context: The number of miles left to travel decreases by 100 for each hour traveled (the speed is 100 miles per hour).