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Semenov [28]
3 years ago
12

Jake is selling items for his baseball fundraiser he earns $10 for each mug (x) he sells and $20 for each shirt (y) he sells. He

want to earn at least $250 for his team.
1 ) write an inequality in standard form to represent the scenario
2) solve the above for y.
3)find and interpret the y-intercept
Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

Step-by-step explanation:

we are given that selling price of each mug(x) is $10

Selling price of each shirt(y) is $20.

Jake wants to earn atleast $250 for his team, So we can write

(1)  10x+20y\geq 250

(2) Now the above inequality can be solved for y as follows:

10x+20y\geq 250\\\text{Add -10x on both the sides}\\10x+20y-10x\geq 250-10x\\20y\geq 250-10x\\\text{Divide both the sides by 20}\\y\geq 12.5-0.5x\\y\geq -0.5x+12.5

(3)

By the observing the above equation that we just solved for y, we can say that It has an y-intercept of 12.5, and a negative slope of 0.5. Y-intercept of 12.5 means, jake must sell atleast 13 shirts to achieve the target.

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