Joe can run 1 mile in 8 minutes, 2 miles in 16 minutes, and 3 miles in 24 minutes. If he were to run 48 minutes at the same pace, how many miles would he have run?

Question

igreen · Answer

Do you see the similarity between (1, 8), (2, 16), and (3, 24)?

x goes up by 1, and y is being multiplied by 2.

anonymous · Answer

ok im a little confused

igreen · Answer

The function for this is y = 8x. Because 8 multiplied by x = y.

igreen · Answer

Let's test our equation.

y = 8x

Let's use the first point (1, 8):

8 = 8(1)

Multiply:

8 = 8

It's true, so our equation fits.

igreen · Answer

Now we can input y = 48 to find out how many miles he runs in 48 minutes.

y = 8x

48 = 8x

Divide 8 to both sides:

x = 6

So he runs 6 miles in 48 minutes.

anonymous · Answer

ok i understand now thank you

igreen · Answer

No problem!