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3 years ago

13

Using a Celsius scale, water freezes at 0°C and boils at 100°C. Using a Fahrenheit scale, water freezes at 32°F and boils at 212

°F. If x represents the temperature in degrees Celsius, which equation can be used to determine y, the temperature in degrees Fahrenheit?

1 answer:

natulia [17]3 years ago

5 0

Y= (x(9/5)) + 32; Ex: y=(100(9/5)) + 32 —> 100 x 1.8 (or 9/5) = 180–> 180 + 32= 212 F

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You are looking for two things: the price of a senior citizen ticket and the price of a child ticket.

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Let s = price of 1 senior citizen ticket.

Let c = price of 1 child ticket.

First day of ticket sales:

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Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 8 tickets cost 8c.

The total sales is 6s + 8c.

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6s + 8c = 136

Now we do the same for the second day of ticket sales.

6 senior citizen tickets, 9 child tickets, total sales of $147.

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 9 tickets cost 9c.

The total sales is 6s + 9c.

The total sales is $147, so our second equation is

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6s + 8c = 136

6s + 9c = 147

Multiply both sides of the first equation by -1. Write the second equation below it. Then add the equations.

-6s - 8c = -136

(+) 6s + 9c = 147

----------------------------

c = 11

c = 11, so the cost of a child ticket is $11.

Now substitute 11 for c in the first equation, and solve for s.

6s + 8c = 136

6s + 8(11) = 136

6s + 88 = 136

6s = 48

s = 8

The price of a senior citizen ticket is $8.

The price of a senior citizen ticket is $8, and the price of a child ticket is $11.

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