Question

Calories burned varies directly to miles run. Dustin burns 190 calories for every 2 miles he runs. Part 1: Find the value of k. Part 2: Write the equation for the direct variation. Part 3: Find how many calories Dustin will burn after running 7 miles.

Answer 1

C = km

k = 95

C = 665

Explanation:

Calories burned varies directly to miles run.

Let

C = calories burned

m = miles

C = km

Dustin burns 190 calories for every 2 miles he runs

C = 190

m = 2

C = km

190 = k2

Divide both sides by 2

k = 95

equation for the direct variation.

C = km

Find how many calories Dustin will burn after running 7 miles.

C = ?

m = 7

k = 95

C = km

C = 95 × 7

= 665