Sandra wants to rent a car to take a trip and has a budget of $90. There is a fixed rental fee of $30 and a daily fee of $10. Wr
2 answers:
Answer:
The maximum number of days for which Sandra can rent the car on her budget is 6.
Step-by-step explanation:
Let n be the number of of days for which Sandra can rent the car on her budget.
Fixed rent = $30
Daily fee for 1 day = $10
Daily fee for n days = 10n
So, Total fees = 30+10n
Sandra's budget is $90 .
She cannot spend more than $90.
So, inequality becomes :
So, the maximum number of days for which Sandra can rent the car on her budget is 6.
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The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that
So, is multiplying the parenthesis involving
and
, and we distributed it:
multiplies both
and
in the final result.
Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum , and neither
exponents count.
But you can su, for example,
or
So, take for example exercise 9:
We distribute the 1.2 through the first parenthesis:
And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):
So, the expression becomes
Now sum like terms: