We would start with 400 - 48, to cover the initial cost. We would be left with 352 dollars to spare for the monthly bill. 352 divided by 44, which is the monthly cost, would be 8. The website could be set up and held for 8 or 9 months, depending on if the initial cost is paid at the same time or before the first monthly one.
Inequalities help us to compare two unequal expressions. The number of months for which the website can be run for $400 is 8.
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given to us
The setup cost is $48
The cost to maintain the website is $44.
Let the number of months for which the website can be run be x.
We know that the setup cost is $48, therefore, even if we don't run the website for a single month. It will cost $48 to the owner. The equation that can represent the system can be written as,
[tex]y = 44x +48[/tex]
where y is the total cost of the website for x number of months.
We know that we want the cost to be less than $400, therefore, we can write the equation as,
[tex]400\geq 44x +48[/tex]
Solve for x to know the number of months for which the website can be run for $400.
[tex]400\geq 44x +48\\\\400-48\geq 44x \\\\352 \geq 44x\\\\x = 8[/tex]
Hence, the number of months for which the website can be run for $400 is 8.
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