Question

paul is comparing two high - speed internet service providers (isps) for his business. the graph represents the cost of each isp as a function of t, the duration in months of a service contract.
if ( c(t)=180 + 10t ) represents isp a and ( c(t)=25t ) represents isp b, how long would the service contracts need to be for the total costs to be the same?
( \bigcirc ) 6 months
( \bigcirc ) 8 months
( \bigcirc ) 10 months
( \bigcirc ) 12 months

Explanation:

Step1: Set costs equal

Set $180 + 10t = 25t$

Step2: Isolate t terms

$180 = 25t - 10t$
$180 = 15t$

Step3: Solve for t

$t = \frac{180}{15}$

Answer:

12 months