Question

Jacob walked for x miles and then cycled for y miles between his home and the library. The number of miles Jacob cycled was 3 miles more than twice the number of miles he walked. The total number of miles Jacob walked and cycled was 6 miles. Which graph best shows the number of miles Jacob walked and cycled?
a
graph of lines y equals x plus 2 and y equals minus x plus 6. Lines intersect at ordered pair 2, 4
b
graph of lines y equals 2 x minus 6 and y equals minus x plus 6. Lines intersect at ordered pair 4, 2
c
graph of lines y equals 2 x minus 9 and y equals minus x plus 6. Lines intersect at ordered pair 5, 1
d
graph of lines y equals 2 x plus 3 and y equals minus x plus 6. Lines intersect at ordered pair 1, 5

Answer 1

Answer:

According to the given conditions, the Option (d) is the right option.

(d)-graph of lines y equals 2 x plus 3 and y equals minus x plus 6.

         Lines intersect at ordered pair (1, 5)

Step-by-step explanation:

Let

The number of miles Jacob walked = x

The number of miles Jacob cycled = y

Then according to the given condition

                                    y = 2 x + 3  ..... (i)

According to the given conditions, the Option (d) is the right option.

(d)-graph of lines y equals 2 x plus 3 and y equals minus x plus 6.

         Lines intersect at ordered pair (1, 5)

The point (1,5) also satisfies (i).

Putting x =1 , we get y = 5

Also 1 + 5 = 6 miles ( Total number of miles as given)

I hope it will help you.