Which functions C(x) represents the monthly cost in dollars in terms of x, the number of gigabytes used in a month
Accepted Solution
A:
Answer:The answer in the procedureStep-by-step explanation:Letx ----> the number of gigabytes used in a monthC(x)------> the monthly cost in dollarsstep 1For the interval ----> [0,2][tex]0\leq x\leq 2[/tex][tex]C(x)=15[/tex]step 2For the interval ---->(2,6][tex]2< x\leq 6[/tex]Find the equation of the lineFind the slope we have[tex](2,20),(6,40)[/tex][tex]m=(40-20)/(6-2)=5[/tex]The equation of the line in to point slope form is equal to[tex]y-20=5(x-2)\\ y=5x-10+20\\ y=5x+10[/tex]therefore[tex]C(x)=5x+10[/tex]step 3For the interval ----> (6,∞][tex]x> 6[/tex][tex]C(x)=50[/tex]