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?

Answer 1

I don't know if there are any options....so I did reasearch I found the question and I believe it is graph 4 because it intersects at (1,5)!

Answer 2

Answer: Graph of lines y equals 2 x plus 3 and y equals minus x plus 6. Lines intersect at ordered pair (1, 5)

Explanation:

Here x represents the miles walked by Jacob and y represents the miles for which Jacob cycled.

Thus, the total distance covered by Jacob = x + y

But according to the question,

The total number of miles Jacob walked and cycled was 6 miles.

Therefore, x + y = 6 -------(1)

Also, The number of miles Jacob cycled was 3 miles more than twice the number of miles he walked.

That is, y = 2x + 3 ----------(2)

subtracting equation (2) from equation (1),

We get,

x = 6 - 2x - 3

⇒ x+2x = 6-3 ( by adding 2x both sides)

⇒ 3 x = 3

⇒ x = 1

Put the value of x in equation (1)

We get y = 5

Thus, Jacob walked 1 miles

And, he cycled 5 miles.