Question

AT long distance plan has a monthly service fee of $25 plus a $0.10 charge per long distance minute, m, used. The cost, c, of the plan is represented by the function c= 0.10m +25.

A. The new line would be the right of the original line
B. The new line would be above the original line
C. The new line would be to the left of and below the original line
D. The new line would be below the original line

Answer 1

AT long distance plan has a monthly service fee of $25 plus a $0.10 charge per long distance minute, m, used. The new line would be above the original line. Thus the correct option is B.

Step-by-step explanation:

The cost function
`\(c = 0.10m + 25\)` represents a linear relationship between the monthly cost
`(\(c\))`and the number of long-distance minutes used
`(\(m\))`. In this equation, the coefficient of m is the rate per minute, and the constant term
`(\(25\))` represents the fixed monthly service fee.

Since the coefficient of m is positive (0.10), it indicates a positive slope. This implies that for every additional minute used, the cost increases. Therefore, the graph of this linear function is a line with a positive slope.

When considering the statement that a new line is created, the positive slope suggests that the new line would be above the original line. The new line might represent a modified plan with a higher rate per minute or an additional fixed fee. In either case, the cost for each level of usage would be higher than the original plan, positioning the new line above the original.

In summary, option B, stating that the new line would be above the original line, is the correct answer.