Question

Jessica is returning home from a trip. The function d(t)=458-60t models the distance, in miles, that Jessica is from her house t hours after she began returning home. How far is Jessica from her home 5 minutes after she began returning home?
A.

5 miles


B.

158 miles


C.

300 miles


D.

453 miles

Answer 1

Answer: D. 453 miles .

Step-by-step explanation:

Given: The function $d(t)=458-60t$ models the distance, in miles, that Jessica is from her house t hours after she began returning home.

At t = 5 minutes = $\dfrac{5}{60}$ hour     [1 hour = 60 minutes],

Distance covered by Jessica in 5 minutes = $d(\dfrac{5}{60})=458-60(\dfrac{5}{60})$

$=458-5=453\ miles$

Jessica is 453 miles from her home after 5 minutes she began returning home.

Hence, the correct option is D. 453 miles .