Question

the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 100 miles to pick up their grandparents for a family vacation, given the time (t) traveled from the grandparents' home and driving at a rate of 55 mph. Determine how far from their home the Bensons will be after 3 1/2 hours of driving with their grandparents. d=55t+100

Answer 1

The distance the Bensons had traveled from their home
`3(1)/(2)` hours after picking up their grand parents 292.5 miles

Explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t =
`3(1)/(2)` hours, we get;

`d = 55 * 3(1)/(2) + 100 = 292.5 \ miles`

Therefore, the distance the Bensons had traveled from their home
`3(1)/(2)` hours after picking up their grand parents = 292.5 miles.