Question

bill bought a new cellular phone. his monthly bill will be $34.99 each month which includes 100 minutes of use. additional minutes will cost $0.23 per minute. write an equation that represents the cost of the bill c in terms of m, which is the number of minutes used above the 100 that are included in the base price.

Answer 1

$34.99 + $0.23m = c
or
c = $0.23m + $34.99

Answer 2

`c(m) = 34.99+0.23m`

Explanation:

The slope-intercept form is given by:

`y=mx+b` where m is the slope and b is the y-intercept or initial value.

Here, c(m) represents the cost of bill c in terms of m and m represents the number of minutes.

As per the statement:

Bill bought a new cellular phone. his monthly bill will be $34.99 each month which includes 100 minutes of use.

⇒
`c(0) =\$ 34.99`

It is also given that additional minutes will cost $0.23 per minute.

⇒For additional minutes, he will cost per minute = $0.23

for m minutes, he will cost $0.23 m

Using the point slope intercept form we have;

`c(m) = 34.99+0.23m`

Therefore, an equation that represents the cost of the bill used above the 100 that are included in the base price is:
`c(m) =34.99+0.23m`