Answered

The function C(x) = 17.5x - 10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon.

a. How much cost to buy 10 tickets?
b. How many tickets can you buy with $130?

Answer :

carlosego
a. How much cost to buy 10 tickets?
 For this case what you must do is replace the value of x = 10 in the given equation.
 We have then:
 C (x) = 17.5x - 10
 C (10) = 17.5 * (10) - 10
 C (10) = 165
 Answer:
 to buy 10 tickets cost:
 $ 165

 b. How many tickets can you buy with $ 130? 
 For this case we must make the substitution: C (x) = 130
 We have then:
 C (x) = 17.5x - 10
 130 = 17.5x - 10
 Clearing x we have:
 17.5x = 130 + 10
 17.5x = 140
 x = (140) / (17.5)
 x = 8
 Answer:
 You can buy 8 tickets with $ 130
MrRoyal

The cost function is a linear function

  • The cost of 10 tickets is $165
  • You can buy 8 tickets with $130

The function is given as:

[tex]\mathbf{C(x) = 17.5x - 10}[/tex]

(a) The cost of 10 tickets

This means that: x= 10

So, we have:

[tex]\mathbf{C(x) = 17.5x - 10}[/tex]

[tex]\mathbf{C(10) = 17.5 \times 10 - 10}[/tex]

[tex]\mathbf{C(10) = 175- 10}[/tex]

[tex]\mathbf{C(10) = 165}[/tex]

Hence, the cost of 10 tickets is $165

(b) The number of tickets that costs $130

This means that C(x) = 130

So, we have:

[tex]\mathbf{C(x) = 17.5x - 10}[/tex]

[tex]\mathbf{130 = 17.5x - 10}[/tex]

Add 10 to both sides

[tex]\mathbf{140 = 17.5x}[/tex]

Divide both sides by 17.5

[tex]\mathbf{8 = x}[/tex]

Rewrite as:

[tex]\mathbf{x = 8}[/tex]

Hence, you can buy 8 tickets with $130

Read more about linear functions at:

https://brainly.com/question/20286983

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