The function C(x)=17.5x-10 represents the cost (in dollars) of buying x ti

geduiwelh

geduiwelh

Answered question

2021-09-15

The function C(x)=17.5x10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon.
a. How much does it cost to buy five tickets?
b. How many tickets can you buy with $130?

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-09-16Added 102 answers

a) Here we will put x=5 into the given function.
C(5)=17.5(5)10
C(5)=77.5
Answer: a) Cost of 5 tickets =$77.5
Eliza Beth13

Eliza Beth13

Skilled2023-05-28Added 130 answers

Step 1:
a. In the function C(x)=17.5x10, we substitute x=5 to obtain the price of purchasing five tickets.
C(5)=17.5×510
Simplifying the expression:
C(5)=87.510
Therefore, it costs 77.50 to buy five tickets.
Step 2:
b. To determine the number of tickets that can be purchased with 130, we need to solve the equation C(x)=130 for x.
17.5x10=130
Adding 10 to both sides:
17.5x=140
Dividing both sides by 17.5:
x=14017.5
Hence, with 130, you can buy 14017.5 tickets, which simplifies to 8 tickets.
madeleinejames20

madeleinejames20

Skilled2023-05-28Added 165 answers

Solution:
a. To find the cost of buying five tickets, we substitute x=5 into the function C(x)=17.5x10.
C(5)=17.5(5)10
Simplifying the expression, we get:
C(5)=87.510
C(5)=77.5
Therefore, the cost of buying five tickets is 77.5.
b. To find the number of tickets that can be bought with 130, we need to solve the equation C(x)=130 for x.
17.5x10=130
Adding 10 to both sides, we get:
17.5x=140
Dividing both sides by 17.5, we obtain:
x=14017.5
Simplifying the expression, we find:
x=8
Therefore, you can buy 8 tickets with 130.

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