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 mi
les 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?
2 answers:
Answer: 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:
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.
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