Question

meaningful monday
a phone plan charges a $20 monthly fee plus $0.05 per text. write a function that represents the total cost c(t) in terms of t, the number of texts. how much will it cost if you send 250 texts?

Explanation:

Step1: Determine the function formula

The monthly fee is a fixed - cost of $20 and the cost per text is $0.05. The total cost $C(t)$ is the sum of the fixed cost and the variable cost (cost per text times the number of texts). So the function is $C(t)=20 + 0.05t$.

Step2: Calculate the cost for 250 texts

Substitute $t = 250$ into the function $C(t)$. So $C(250)=20+0.05\times250$.
First, calculate $0.05\times250 = 12.5$. Then $C(250)=20 + 12.5=32.5$.

Answer:

The function is $C(t)=20 + 0.05t$ and the cost for 250 texts is $\$32.5$.