Question

The Chang family is on their way home from a cross-country road trip. During the trip, the function D(1) = 2,280 - 60t can be used to represent their distance, in miles, from home after t hours of driving.

Activity 1 of 2:
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t) = 2,280 - 600 can be used to represent their distance, in miles, from home after t hours of driving. What is the value of D(15)? Show your work.
a) D(15) = 1,380 miles
b) D(15) = 2,190 miles
c) D(15) = 2,280 miles
d) D(15) = 2,180 miles

Answer 1

The value of D(15) for the function representing the Chang family's distance from home after t hours of driving is calculated to be 1,380 miles, which corresponds to answer choice (a).Hence, the correct answer is (a) D(15) = 1,380 miles.

Step-by-step explanation:

The Chang family's distance from home after t hours of driving can be represented by the function D(t) = 2,280 - 60t. To find the value of D(15), we need to substitute 15 for t in the function and perform the calculation. So, D(15) would be 2,280 - 60(15).

D(15) = 2,280 - 60(15)

D(15) = 2,280 - 900

D(15) = 1,380 miles

Hence, the correct answer is (a) D(15) = 1,380 miles.

To find the value of D(15), we substitute t = 15 into the expression D(t) = 2,280 - 60t.

D(15) = 2,280 - 60(15) = 2,280 - 900 = 1,380.

Therefore, the value of D(15) is 1,380 miles.