Answer :
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
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
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