Math

Question出租车费用为 c(x)=3x+2.00c(x)=3x+2.00,斜率表示什么? A. 每分钟费用增加 \$2.00 B. 总费用为 \$3.00 C. 每次费用为 \$2.00 D. 每分钟费用增加 \$3.00

Studdy Solution

STEP 1

Assumptions1. The cost, c(x)c(x), for a taxi ride is given by c(x)=3x+.00c(x)=3x+.00 . xx represents the number of minutes3. The slope of the equation represents the rate of change of the cost with respect to time

STEP 2

In a slope-intercept equation of the form y=mx+by = mx + b, mm is the slope of the line. The slope represents the rate of change of the dependent variable (yy) with respect to the independent variable (xx).

STEP 3

In the given equation c(x)=3x+2.00c(x)=3x+2.00, the slope is 33.

STEP 4

The slope in this context represents the rate of change of the cost of the taxi ride with respect to time (minutes).

STEP 5

Therefore, the slope means that for every minute, the cost of the taxi ride increases by 3.00.ThecorrectanswerisD.Therateofchangeofthecostofthetaxirideis3.00.The correct answer is D. The rate of change of the cost of the taxi ride is \3.003.00 per minute.

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