Question

Two students set off traveling due north from their separate houses to go on a long distance bike ride. Alex lives 20 miles north of Jenna, and travels at 11 miles per hour. Jenna travels at 13 miles per hour. Select all of the equations that can be used to represent this situation, where x represents the number of hours and y represents the total distance traveled.

a. y=11x
b. y=11x-20
c. y=11x+20
d. y=13x+20
e. y=13x

Answer 1

y = 11x + 20

y = 13x

Answer 2

Answer : The correct options are:

c. y = 11x + 20

e. y = 13x

Step-by-step explanation :

As we are given that distance between Alex and Jenna is, 20 miles.

Speed of Alex = 11 miles/hour

Speed of Jenna = 13 miles/hour

Total distance = y miles

Time = x hour

Distance traveled by Alex = (y-20) miles

Distance traveled by Jenna = y miles

As per question condition, there are two equations.

As we know that,
`Speed=(Distance)/(Time)`

So,

`11=((y-20))/(x)` ............(1)

`11x=y-20\\\\y=11x+20`

`13=(y)/(x)` ............(2)

`y=13x`

Thus, the equations that can be used to represent this situation are,
`y=11x+20` and
`y=13x`