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lesya [120]
2 years ago
6

The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to

model their distance, in miles, from home after t hours of driving.
part A:Find D(12) and interpret the meaning in the context of the problem.

part B: If D(t)=2490, find the value of t and interpret its meaning in the context of the problem.
Mathematics
1 answer:
Maksim231197 [3]2 years ago
4 0

Considering the given function, we have that:

a) D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

<h3>What is the function in this problem?</h3>

The distance that the family is from home, after t hours of driving, is given by:

D(t) = 3260 - 55t.

Then, after 12 hours, the distance is given by D(12), that is:

D(12) = 3260 - 55 x 12 = 2600.

D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

D(t)=2490, hence:

3260 - 55t = 2490

55t = 770

t = 770/55

t = 14

D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

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