Question

Penelope and Nancy see who can read the fastest to determine who will buy snacks for their sleepover. Penelope gives Nancy a 10 second head start. Nancy goes at 7 words per second and Penelope goes at 9 words per second.

What would the slope intercept equation be to rep. Penelope?
Make an equation, with variables on both sides, that shows how long it would take for them to be tied in their competition.

Answer 1

for Penelope: y = 9x - 10

5 seconds they will both have read 35 words

Explanation:

for Nancy: y = 7x

to find how long to be tied:

7x = 9x - 10

-2x = -10

x = 5