Question

Dylan is going to drive from his house to City A without stopping. A equation that determines Dylan's distance from City A tt hours after leaving his house is D=280-35t.D=280−35t. What is the xx-intercept of the equation and what is its interpretation in the context of the problem?

Answer 1

`t = 8`

Explanation:

Given

`D = 280 - 35t`

Required

Determine and interpret the x intercept

To get the x intercept, set D = 0

`D = 280 - 35t`

`0 = 280 - 35t`

Add 35t to both sides

`0 + 35t = 280 - 35t + 35t`

`0 + 35t = 280 - 35t + 35t`

`35t = 280`

Solve for t

`t = 280/35`

`t = 8`

The interpretation is that this is the time when Dylan left home