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

1 Answer

6 votes

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 170 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Explanation:

Given the function


c(x) = 18x -10

The slope-intercept form of the line equation

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

y=mx+b

where m is the slope and b is the y-intercept

so


c(x) = 18x - 10

comparing with the slope-intercept form of the line equation

here:

  • rate of change = 18
  • c(x) or y represents the cost

and

'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $170

In order to determine the value of x, set c(x) = 170

i.e.

170 = 18x -10

switch sides

18x - 10 = 170

add 10 to both sides

18x - 10 + 10 = 170 + 10

18x = 180

Divide 18 to both sides

18x/18 = 180/18

x = 10

Therefore, if you can buy x = 10 tickets if you pay 170 dollars.

User Mahmoud Hboubati
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