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MArishka [77]
3 years ago
11

On a certain hot summers day, 648 people use the public swimming pool. The daily prices are $1.50 for children and $2.25 for adu

lts. The receipts for the admission totaled $1269. How many children and how many adults swim at the public pool that day?
QUESTION:

There were ______ children and _____ adults at the public pool.

Thanks for answering:)
Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

252 children and 395 adults

Step-by-step explanation:

Make a linear system of equations, where x represents the number of children and y represents the number of adults

x+y=648

1.50x+2.25y=1269

solve using substitution, so y=648-x,

then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,

solve for x and you will get x equals the 252

then substitute this into the first equation, so you get 252+y=648

solve and you will get y=395

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lapo4ka [179]

Answer:

y = 2.31x + 309.35

Step-by-step explanation:

Whenever you are checking for a best fitting equation you want to check if it has a constant slope.  If it does then the relation is linear and super easy.

So, since the t values are increasing by the same amount you want to see if the y values are  too.  And they are, each population entry is increasing by 2.31, this is the slope.  

Also, keep in mind you can caluclate slope with the equation \frac{y_2-y_1}{x_2-x_1}  here x is replaced by t though.

Now, since we know it's linear and we know the slope we can find the equation with the formula  y - y1 = m(x - x1) where again, x is replaced by t and m is the slope 2.31

I am just going to use the first point.  so x1 = t1 = 0

y - 309.35 = 2.31(x-0)

y = 2.31x + 309.35

Let me know if there was something you didn't understand.  

5 0
3 years ago
Mary Stevens earns 6 an hour at jod and is entitled to time and a half for overtime and double time on holidays. Last week she w
Dennis_Churaev [7]
40 x $6=$240 
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<span>8 x $ 12=$ 96 </span>

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Step-by-step explanation:

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