Jashawnsimpson292idn
Answered

IDNLearn.com makes it easy to get reliable answers from experts and enthusiasts alike. Join our Q&A platform to get accurate and thorough answers to all your pressing questions.

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.

Sagot :

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.

What is the function in this problem?

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 https://brainly.com/question/25537936

#SPJ1

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and come back for more insightful information.