Question

unit prices and unit rates maze
what number should be in place of the y in the rate table?
(then there are various rate tables and a maze - like structure with different sections: distance run, needed for recipe, number of students to teachers, someones heartrate, cost of smoothies, words typed, # of green shirts to blue shirts, hotdog eating contest, calories in candy bars, money made babysitting, cost for parts, with start and end points and numbers between the sections.)

Explanation:

To solve for \( y \) in the "Distance Run" rate table, we first determine the unit rate (miles per minute) using the given values.

Step 1: Find the unit rate

We know that in 48 minutes, the distance run is 8 miles. The unit rate (miles per minute) is calculated as:
\[
\text{Unit rate} = \frac{\text{Miles}}{\text{Minutes}} = \frac{8}{48} = \frac{1}{6} \text{ miles per minute}
\]

Step 2: Use the unit rate to find \( y \)

We need to find the distance \( y \) when the time is 21 minutes. Using the unit rate:
\[
y = \text{Unit rate} \times \text{Minutes} = \frac{1}{6} \times 21
\]
\[
y = \frac{21}{6} = 3.5
\]

Answer:

\( y = 3.5 \)