Afamily drove to their grandmothers house. after that they averaged 200 miles per day for 8 days. they drove a total of 1,880 miles over the eight days. assume the relationship is linear. find and interpret the rate of change and initial value.

The family drove 200 miles per day and the initial value of distance drove to their grandmothers house is 280 miles.

Step-by-step explanation:

Given :  A family drove to their grandmothers house.

After that they averaged 200 miles per day for 8 days.

i.e.  The rate of change = 200 miles per day. [Rate of change is a constant in a linear relationship.]

i.e. Total distance traveled after a family drove to their grandmothers house.  = 200 x 8  = 1600 miles

Now , the initial value of distance drove to their grandmothers house. = 1880-1600 miles

= 280 miles

Hence , the family drove 200 miles per day and the initial value of distance drove to their grandmothers house is 280 miles.

step-by-step explanation: