Answer:
The carpeneter went to store A, and she can build 6 cabinets .
Therefore, option A) is correct.
Step-by-step explanation:
The graph of Store B depicts that:
- The cost of 1 cabinet is $40.
- According to the graph of Store B, the cost of 4 cabinets is $160 and the cost of 5 cabinets is $200.
But, the carpenter spends a total of $180. So, lets check the Store A.
For Store A, the equation of the cost (y), in dollars, of the supplies she needs to buy at store A to build x cabinets is represented as:
[tex]\:y\:=\:8\left(3.75x\right)[/tex]
As she spends a total of $180.
so [tex]180\:=\:8\left(3.75x\right)[/tex]
[tex]8\left(3.75x\right)=180[/tex]
[tex]\frac{8\cdot \:3.75x}{8}=\frac{180}{8}[/tex]
[tex]3.75x=\frac{45}{2}[/tex]
[tex]\frac{3.75x}{3.75}=\frac{\frac{45}{2}}{3.75}[/tex]
[tex]x=6[/tex]
So, the carpenter can build 6 cabinets after spending a total of $180 from store A.
Thus, the carpeneter went to store A, and she can build 6 cabinets .
Therefore, option A) is correct.
