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Sagot :
Answer:
(a)y=72x+15
(b)$15
(c)519
(d)8 nights
Explanation:
Let the number of nights which you stay = x
The cost of renting a room for a night =$72
Therefore, the costs for x nights = $72x
If the charge for using its parking lot = c
Then, the total cost, y=72x+c
Part A
When the total bill = $231
x=3 nights
[tex]\begin{gathered} 231=72(3)+c \\ 231=216+c \\ c=231-216 \\ c=15 \end{gathered}[/tex]Therefore, an equation in slope-intercept form that gives your total bill as a function of the number of nights, x is:
[tex]y=72x+15[/tex]Part B
Your packing fee, c=$15
Part C
When the number of nights, x=7
[tex]\begin{gathered} \text{Total Cost,y}=72(7)+15 \\ =504+15 \\ =\$519 \end{gathered}[/tex]Part D
When the total cost, y = $591
[tex]\begin{gathered} 591=72x+15 \\ 72x=591-15 \\ 72x=576 \\ \frac{72x}{72}=\frac{576}{72} \\ x=8 \end{gathered}[/tex]If your bill was $591, you stayed for 8 nights.
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