The charge for 30 days will be $720 and for 22 numbers of days of people can attend the camp.
<h3>How to form an equation?</h3>
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".
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here, given inequality:
y <
Related equation:
y =
The equation defined as,
x+3 > 0
x > -3
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
adding 1 on both sides, we get
y ≥ 1
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.