Question

Joy is training for a triathlon. She runs a distance of 2x miles, cycles a distance of (x2 + 7) miles, and swims a distance of (x - 2) miles. Which simplified expression is equivalent to the total distance, in miles, Joy covers? (2 points)

Answer 1

add

2x+x²+7+x-2=
x²+2x+x+7-2=
x²+3x+5=total distance

Answer 2

`x^2+3x+5` miles.

Explanation:

We have been given that Joy is training for a triathlon. She runs a distance of
`2x` miles, cycles a distance of
`(x^2+7)` miles, and swims a distance of
`(x-2)` miles. We are asked to find total distance covered by Joy.

`\text{Total distance}=\text{Distance covered by running}+\text{Distance covered by cycling}+\text{Distance covered by swimming}`

`\text{Total distance}=(2x)+(x^2+7)+(x-2)`

`\text{Total distance}=2x+x^2+7+x-2`

`\text{Total distance}=x^2+2x+x+7-2`

`\text{Total distance}=x^2+3x+5`

Therefore, Joy covered a total distance of
`x^2+3x+5` miles.