Question

the graph represents the data cost for monthly internet service for a cell phone. which function, c(x), represents the monthly cost in dollars in terms of x, the number of gigabytes used in a month? cell phone internet service monthly cost ($) 15, 0 ≤ x ≤ 2 c(x) = 5x + 10, 2 < x ≤ 6 50, 6 < x 15, 0 ≤ x < 2 c(x) = 5x + 20, 2 ≤ x < 6 50, 6 ≤ x 15x, 0 ≤ x ≤ 2 c(x) = 20x + 5, 2 < x ≤ 6 50x, 6 < x 15x, 0 ≤ x < 2 c(x) = 5x + 10, 2 ≤ x < 6 50x, 6 ≤ x gigabytes used

Explanation:

Step1: Analyze 0 ≤ x ≤ 2

Cost is constant at $15.

Step2: Analyze 2 < x ≤ 6

Using slope - intercept for line. Slope $m = 5$, y - intercept $b = 10$, so $y=5x + 10$.

Step3: Analyze 6 < x

Cost is constant at $50.

Answer:

$C(x)=

$$\begin{cases}15, &0\leq x\leq2\\5x + 10, &2

$

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