Drake is considering buying one of the four popular e-readers where the e-reader's premium services is a monthly charge. The functions LaTeX: A_1\left(t\right)=\:5t+350,\:\:\:A_2\left(t\right)=10t+250,\:\:\:\:\:A_3\left(t\right)=499,\:and\:\:\:\:\:\:A_4\left(t\right)=15t+179A 1 ( t ) = 5 t + 350 , A 2 ( t ) = 10 t + 250 , A 3 ( t ) = 499 , a n d A 4 ( t ) = 15 t + 179 model the total amount of money A, in dollars, that Drake spends after buying the e-reader and subscribing to t months of the e-reader's premium services. Which e-reader has the greatest monthly subscription cost?

Respuesta :

Answer:

[tex]A_4[/tex]

Step-by-step explanation:

The cost of the e-readers and the subscription of their services are

[tex]A_1(t)=5t+350[/tex]

[tex]A_2(t)=10t+250[/tex]

[tex]A_3(t)=499[/tex]

[tex]A_4(t)=15t+179[/tex]

The functions are of the form

[tex]A(t)=mt+c[/tex]

Where [tex]m[/tex] is the monthly subscription cost and [tex]c[/tex] is the cost of the e-reader.

So, 15 dollars is the highest subscription cost which is of the 4th e-reader.

Hence [tex]A_4[/tex] has the highest subscription cost.