A camp program charges a registration fee and a daily amount. The total bill for 12 days is $338. The total bill for 19 days is $506. Slope can be represented by cost per day. Use x as the number of days and y as the total cost to represent this situation.
Use your equation to find the charge for 30 days.

How many days of camp could someone attend with a budget of $530?

Respuesta :

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

How to form an equation?

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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