Question

Tony has $10 to buy apples and bananas for a fruit salad. Apples cost $2 per pound and bananas cost $1 per pound. Write and graph an inequality to describe the situation. Then give two possible combinations of pounds of apples and bananas that Tony can buy.choices:2a + b ≥ 102 pounds of apples and 13 pounds of bananas or4 pounds of apples and 18 pounds of bananas.2a + b ≤ 102 pounds of apples and 13 pounds of bananas or4 pounds of apples and 18 pounds of bananas.2a + b ≤ 102 pounds of apples and 6 pounds of bananas or4 pounds of apples and 2 pounds of bananas.2a + b ≥ 102 pounds of apples and 6 pounds of bananas or4 pounds of apples and 2 pounds of bananas.

Answer 1

2 pounds of apples and 6 pounds of bananas or 4 pounds of apples and 2 pounds of bananas. 2a + b ≤ 10

Step-by-step explanation:

We were given that:

Tony has $10 to buy apples and bananas for a fruit salad

Apples cost $2 per pound and bananas cost $1 per pound

Let apples be represented by "a" & bananas with "b"

We will use the information above to generate the inequality below:

`2a+b\le10`

For 2 pounds of apples and 13 pounds of bananas or 4 pounds of apples and 18 pounds of bananas, we have:

`\begin{gathered} 2a+b\le10 \\ a=2,b=13 \\ Substitute\text{ this into the inequality above, we have:} \\ 2(2)+13\le10 \\ 4+13\le10 \\ 17\le10(FALSE) \\ \\ a=4,b=18 \\ Substitute\text{ this into the inequality above, we have:} \\ 2(4)+18\le10_{} \\ 8+18\le10 \\ 26\le10(FALSE) \end{gathered}`

For 2 pounds of apples and 6 pounds of bananas or 4 pounds of apples and 2 pounds of bananas, we have:

`\begin{gathered} 2a+b\le10 \\ a=2,b=6 \\ Substitute\text{ this into the inequality above, we have:} \\ 2(2)+6\le10 \\ 4+6\le10 \\ 10\le10(TRUE) \\ \\ a=4,b=2 \\ Substitute\text{ this into the inequality above, we have:} \\ 2(4)+2\le10 \\ 8+2\le10 \\ 10\le10(TRUE) \end{gathered}`

Therefore, the correct option is:

2 pounds of apples and 6 pounds of bananas or 4 pounds of apples and 2 pounds of bananas. 2a + b ≤ 10