Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given, the cost of the camp program

$338 → 12 days

And,

$506 → 19 days

Slope = (506-338)/(19-12)

Slope = 24

So, the cost per day will be 24

So equation will be

y = 24x

Now,

The charge is for 30 days ⇒

y = 24 (30)

y = $720

And

Number of days of camp could someone attend with a budget of $530⇒

530 = 24x

x = 22.08

Since day could not be a decimal quantity so it will be 22.

Hence "The charge for 30 days will be $720 and for 22 numbers of days of people can attend the camp".

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4 0

2 years ago

the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls

Inessa05 [86]

First, make up some variables to represent the number of Girls and Boys in the choir.

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:
$\frac{B}{G} = \frac{1}{4}$

If you cross-multiply, then you get the simplified equation:
G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48

The number of girls you have is 48.

6 0

3 years ago

XYZ Company declares dividends of $50,000. Samuel Smith owns 50 shares of stock. The company has sold 25,000 total shares of sto

sweet [91]

50000/25000=2 per share
50*2=100

7 0

3 years ago

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