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

Sagot :

Absor201idn

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.

Step-by-step explanation:

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

[tex]y = mx+b[/tex]

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

Given the function

[tex]c(x) = 18x -10[/tex]

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 [tex]c(x) = 80[/tex]

i.e.

[tex]80 = 18x -10[/tex]

switch sides

[tex]18x - 10 = 80[/tex]

add 10 to both sides

[tex]18x - 10 + 10 = 80 + 10[/tex]

[tex]18x = 90[/tex]

Divide 18 to both sides

[tex]\frac{18x}{18}=\:\frac{90}{18}[/tex]

[tex]x = 5[/tex]

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

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