69.2k views
1 vote
A long-distance carrier charges $1.20 for a 10-minute call,$1.80 for a 15-minute call, and $2.40 for a 20-minute call. What is the value of the C- intercept?(X is the number of minutes a call lasts, and C is the cost of the call )

User Reqven
by
8.2k points

1 Answer

5 votes

Final answer:

The value of the C-intercept in this scenario represents the cost of a call when it lasts for zero minutes. By finding the slope of the line and using the slope-intercept form, we can determine the value of the C-intercept. In this case, the C-intercept is $0.12.

Step-by-step explanation:

The C-intercept in this scenario represents the cost of a call when it lasts for zero minutes. To find the value of the C-intercept, we need to determine the cost of a call when it lasts for zero minutes. From the given information, we can see that a 10-minute call costs $1.20, a 15-minute call costs $1.80, and a 20-minute call costs $2.40.

If we assume that the relationship between the cost of the call and the duration of the call is linear, we can find the slope of the line using the formula m = ΔC / ΔX, where ΔC is the change in cost and ΔX is the change in duration. In this case, ΔC = $2.40 - $1.20 = $1.20 and ΔX = 20 - 10 = 10.

Therefore, the slope of the line is m = $1.20 / 10 = $0.12. The equation of the line can be written as C = mx + b, where C is the cost of the call, x is the duration of the call, m is the slope, and b is the y-intercept. Substituting the values, we have C = $0.12x + b.

Since the C-intercept represents the cost of a call when it lasts for zero minutes, we can substitute x = 0 in the equation and solve for b. C = $0.12(0) + b, which simplifies to C = b. Therefore, the value of the C-intercept is $0.12.

User Jkt
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories