Question

The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the number of minutes. What does the slope mean for this situation?

A. The rate of change of the cost of the taxi ride is $3.00 per minute.
B. The rate of change of the cost of the taxi ride is $2.00 per minute.
C. The taxi ride costs a total of $3.00.
D. The taxi ride costs $2.00 per trip.

Answer 1

Simple...

you have: C(X)=3x+2.00

x=number of minutes

Pay attention to the y=mx+b form where m=slope-->>

3x is the slope...

so it's 3(times the number of minutes) <<---or (x)

This means that the slope is 3, or the fancy way of saying it-->>"rate of change."

The rate of change of the cost of the taxi ride is $3.00 per minute.

Thus, your answer.

Answer 2

By comparing the cost equation with the equation of a straight line, the slope means: A. the rate of change of the cost of the taxi ride is $3.00 per minute.

How to interpret the slope?

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

• x and y are the points.

• m is the slope or rate of change.

• c is the intercept.

Comparing the given cost equation with the standard equation of a straight line, we have:

c(x) = 3x + 2.00 ≡ y = mx + c

Intercept, c = 2.00.

Slope, m = 3.

Therefore, we can logically deduce that the slope simply means that the rate of change of the cost of the taxi ride is $3.00 per minute.

Read more on rate of change here: https://brainly.com/question/17601248

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