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 does it cost to buy 5 tickets? It costs $ to buy 5 tickets. b. How many tickets can you buy with $130? You can buy tickets.

Respuesta :

Answer:

a. It would cost $77.50 to buy 5 tickets.

C(x)=17.5(5)-10

C(x)=87.50-10

C(x)=77.50

b. You can buy 8 tickets with $130

C(x)=17.5x-10

130=17.5x-10

Add 10 on both sides

140=17.5x

Divide 17.5 on both sides

8=x

The cost of buying 5 tickets is $77.5

This shows that 8 tickets can be bought with $130

Given the cost function expressed as:

C(x)=17.5x−10

x is the number of tickets

a) To get the costs $ to buy 5 tickets, we will substitute x = 5 into the expression;

C(5)=17.5(5)−10

C(5) = 87.5 - 10

C(5) = 77.5

Hence the cost of buying 5 tickets is $77.5

b) To get the number of ticket we can buy with $130, C(x) = $130

Substitute into the formula and find "x"

130 = 17.5x - 10

17.5x = 130 + 10

17.5x = 140

x = 140/17.5

x = 8

This shows that 8 tickets can be bought with $130

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