Question

The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?

Answer 1

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 80 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Explanation:

We know that the slope-intercept form of the line equation

`y = mx+b`

where m is the slope or rate of change and b is the y-intercept

Given the function

`c(x) = 18x -10`

comparing with the slope-intercept form of the line equation

here

• rate of change = 18

• c(x) = y = the cost

• x = tickets

Assuming the total cost i.e. c(x) = $80

In order to find the value of x, set
`c(x) = 80`

i.e.

`80 = 18x -10`

switch sides

`18x - 10 = 80`

add 10 to both sides

`18x - 10 + 10 = 80 + 10`

`18x = 90`

Divide 18 to both sides

`(18x)/(18)=\:(90)/(18)`

`x = 5`

Therefore, we conclude that if you can buy x = 5 if you pay 90 dollars.