Question

question 6.
the chang family is on their way home from a cross - country road trip. during the trip, the function ( d(t)=2280 - 60t ) can be used to model their distance from home after ( t ) hours of driving.
find ( d(15) ) and interpret the meaning in context of the problem.
a. ( 37.75 ); the chang family is ( 37.75 ) miles from home after ( 15 ) hours of driving
b. ( 37.75 ); the chang family is ( 15 ) miles from home after ( 37.75 ) hours of driving
c. ( 1380 ); the chang family is ( 1380 ) miles from home after ( 15 ) hours of driving
d. ( 1380 ); the chang family is ( 15 ) miles from home after ( 1380 ) hours of driving

Explanation:

Step1: Identify the function

The function given is \( D(t) = 2280 - 60t \), where \( t \) is the number of hours of driving. We need to find \( D(15) \).

Step2: Substitute \( t = 15 \) into the function

Substitute \( t = 15 \) into \( D(t) \):

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Step3: Interpret the result

\( D(t) \) represents the distance from home after \( t \) hours of driving. So, \( D(15) = 1380 \) means the Chang family is 1380 miles from home after 15 hours of driving.

Answer:

C. 1,380; The Chang family is 1,380 miles from home after 15 hours of driving