Question

total cost of membership
number of months
answer attempt 1 out of 2
c =
the slope of the function is which represents

Explanation:

Step1: Identify y-intercept (initial cost)

The line crosses the y-axis at $C=100$ when $t=0$, so $b=100$.

Step2: Calculate slope (monthly cost)

Use two points, e.g., $(0,100)$ and $(2,160)$.
Slope $m=\frac{160-100}{2-0}=\frac{60}{2}=30$.

Step3: Write linear function

Substitute $m=30$ and $b=100$ into $C=mt+b$.
$C=30t+100$

Answer:

$C=30t+100$
The slope of the function is $30$ which represents the monthly cost of the membership.