Question

it takes fiona 96 minutes to complete a 24 - mile bike course while biking at a constant rate. the course has 3 checkpoints that fiona must pass in order for her time to count. drag and drop the responses below to complete the table.
checkpoint: a, b, c, finish line
number of miles: (a: empty), (b: 8), (c: empty), (finish line: 24)
number of minutes: (a: 4), (b: empty), (c: 64), (finish line: 96)
numbers to drag: 1, 4, 8, 12, 16, 24, 32

Explanation:

Step1: Find the rate

Fiona's rate is miles per minute. Using the finish line data: rate $r = \frac{24 \text{ miles}}{96 \text{ minutes}} = \frac{1}{4}$ miles per minute (or minutes per mile: $\frac{96}{24} = 4$ minutes per mile).

Step2: Solve for Checkpoint A (Minutes = 4)

Using minutes per mile (4 minutes/mile), miles for A: $4 \text{ minutes} \times \frac{1 \text{ mile}}{4 \text{ minutes}} = 1$ mile.

Step3: Solve for Checkpoint B (Miles = 8)

Time for B: $8 \text{ miles} \times 4 \text{ minutes/mile} = 32$ minutes.

Step4: Solve for Checkpoint C (Minutes = 64)

Miles for C: $64 \text{ minutes} \times \frac{1 \text{ mile}}{4 \text{ minutes}} = 16$ miles.

Answer:

• Checkpoint A (Number of Miles): 1
• Checkpoint B (Number of Minutes): 32
• Checkpoint C (Number of Miles): 16

(To complete the table:

• A: 1 mile (matches 4 minutes)
• B: 32 minutes (matches 8 miles)
• C: 16 miles (matches 64 minutes))