iced tea costs $1.75 a glass and a taco costs $0.79. you have $6.00 to spend. let x represent the number of glasses of iced tea and y represent the number of tacos. choose he inequality that represents what you can buy with $6.00. a) 0.79x+1.75y ≤ 6.00b) x+y ≤ 6c) 1.75x+0.79y>6.00d) 1.75x+0.79y ≤ 6.00

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31-10-2022
Mathematics

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iced tea costs $1.75 a glass and a taco costs $0.79. you have $6.00 to spend. let x represent the number of glasses of iced tea and y represent the number of tacos. choose he inequality that represents what you can buy with $6.00. a) 0.79x+1.75y ≤ 6.00b) x+y ≤ 6c) 1.75x+0.79y>6.00d) 1.75x+0.79y ≤ 6.00

Answer :

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AreanaT711291 AreanaT711291 · Answer 1 · 2022-10-31T02:38:10-04:00

From the information available, we have a total of $6.00 to buy 2 items, iced tea and tacos.

The costs are given as;

[tex]\begin{gathered} \text{Iced teas}=1.75 \\ Ta\cos =0.79 \end{gathered}[/tex]

The conditions given are such that we can spend $6 to buy both items. If we buy only iced teas, we would be having;

[tex]1.75x=6.00[/tex]

If we buy only tacos, we would have;

[tex]0.79y=6.00[/tex]

However, we are buying both which means we would be having the following equation;

[tex]1.75x+0.79y=6.00[/tex]

Remember however that we have only $6 to spend and nothing more, but we can spend a litle less than $6. That means we can spend $6 or less, but nothing that exceeds that amount. Thats why we can now re-write this as an inequality in the form of "less than or equal to."

Our inequality for this situation therefore would be;

[tex]1.75x+0.79y\le6.00[/tex]

ANSWER:

The correct answer is option D