Question

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 1

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

The costs are given as;

`\begin{gathered} \text{Iced teas}=1.75 \\ Ta\cos =0.79 \end{gathered}`

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

`1.75x=6.00`

If we buy only tacos, we would have;

`0.79y=6.00`

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

`1.75x+0.79y=6.00`

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;

`1.75x+0.79y\le6.00`

ANSWER:

The correct answer is option D