Respuesta :
The total cost for X hours is the fixed cost of $15 plus the variable cost of $4 per hour which is equal to 4*X, so the total cost is 4*X + 15
If Margie does not want to spend more than $27 then the inequality is
4*X + 15 <= 27
4*X <= 12
X <= 3
If Margie does not want to spend more than $27 then she cannot rent the bicycle for more than 3 hours
Answer:
3 hours
Step-by-step explanation:
to understand this
you need to know about:
- inequality
- inequality word problems
- solving word problems
let's create the inequality:
let's every hour be x
first condition
A rental company charges $15
therefore,
15
plus $4 per hour to rent a bicycle.
therefore
15+4x (as per our is x)
last condition
Margie does not want to spend more than $27 for her rental,
therefore,
15+4x≤27 (≤ is because as it says"does not want to spend more than $27"
let's solve:
few things about solving inequality
the direction of the inequality won't change
if
- Add (or subtract) a number from both sides
- Multiply (or divide) both sides by a positive number
- Simplify a side
the direction of inequality will change
if
- Multiply (or divide) both sides by a negative number
- Swapping left and right hand sides
[tex]step - 1 \colon \: define[/tex]
[tex]15 + 4x \leqslant 27[/tex]
[tex]step - 2 \colon \: \\ subtract \:15 \: from \: both \: sides[/tex]
[tex]15 - 15 + 4x \leqslant 27 - 15[/tex]
[tex]4x \leqslant 12[/tex]
[tex]step - 3 \colon \: \\ divide \: both \: sides \: by \: 4[/tex]
[tex] \frac{4x}{4} \leqslant \frac{12}{4} [/tex]
[tex]x \leqslant 3[/tex]
[tex] \therefore \: she \: can \: rent \: the \: bicycle \: for \: 3 \: hours[/tex]
