Final answer:
To calculate the time it will take Yumiko to run 5 miles using the equation y = 8x + 8, substitute 5 for 'x' and solve for 'y'. It equates to 48, meaning it will take Yumiko 48 minutes to run 5 miles.
Step-by-step explanation:
To determine how long it will take Yumiko to run 5 miles using the equation of the line given by y = 8x + 8, we need to identify the variables correctly. In this equation, 'y' represents the total minutes it will take to run 'x' miles. To find the time it takes to run 5 miles, we substitute x with 5.
The calculation will look like this:
- Substitute x with 5 in the equation y = 8x + 8.
- Calculate y: y = 8(5) + 8 = 40 + 8.
- Therefore, y = 48.
Based on this equation, it will take Yumiko 48 minutes to run 5 miles, so the correct answer is B. 48 minutes.