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Math  /  Algebra

Questionby the equation y=7.5xy=7.5 x. a. Graph the equation and interpret the slope. b. How many minutes does it take for your friend to run one mile?
6. At a concession stand, hamburgers are selling at a rate of 160 hamburgers

Studdy Solution

STEP 1

1. The equation y=7.5x y = 7.5x represents the relationship between time x x in hours and distance y y in miles.
2. The slope of the line represents the rate of speed in miles per hour.
3. We need to determine how many minutes it takes to run one mile.

STEP 2

1. Graph the equation and interpret the slope.
2. Calculate the time taken to run one mile.

STEP 3

To graph the equation y=7.5x y = 7.5x , plot the points given in the table: (0,0), (1,7.5), (2,15), (3,22.5).

STEP 4

Draw a straight line through the points to represent the equation y=7.5x y = 7.5x .

STEP 5

Interpret the slope: The slope of the line is 7.5, which means your friend runs at a speed of 7.5 miles per hour.

STEP 6

To find out how many minutes it takes to run one mile, use the speed: 7.5 7.5 miles per hour.

STEP 7

Since 7.5 miles are covered in 60 minutes, the time to run one mile is 607.5 \frac{60}{7.5} minutes.

STEP 8

Calculate 607.5=8 \frac{60}{7.5} = 8 minutes.
The time it takes for your friend to run one mile is:
8 minutes \boxed{8 \text{ minutes}}

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