Joann has a certain number of dimes and quarters in her purse, with a total value of $3.75. The
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Question:
You are ordering short-sleeve shirts (x) for $10 and long-sleeve shirts (y) for $15. Your budget is $300. Write the equation and find the intercepts.
Interpret their meaning.
Answer:
The x-intercept shows that you can buy 30 short-sleeve shirts and 0 long-sleeve shirts.
The y-intercept shows that you can buy 20 long-sleeve shirts and 0 short-sleeve shirts.
Step-by-step explanation:
Given
$10 per short sleeve
$15 per long sleeve
Budget = $300
The above can be represented as:
Total Cost of Short Sleeve + Total Cost of Long Sleeve = Budget
i.e.
To solve for the y intercept, we set x to 0
Divide through by 15
<em>This implies that, you can buy 0 short sleeves and 20 long sleeves</em>
To solve for the x intercept, we set y to 0
Divide through by 10
<em>This implies that, you can buy 0 long sleeves and 30 short sleeves</em>