Questions: Jim buys flowers for 4 apiece and vases for 16 apiece. Write an inequality that shows the possible combinations of x flowers and y vases that Jim can buy if he spends no more than 84. Then graph the inequality.

Jim buys flowers for 4 apiece and vases for 16 apiece. Write an inequality that shows the possible combinations of x flowers and y vases that Jim can buy if he spends no more than 84. Then graph the inequality.

Transcript text: Jim buys flowers for $4 apiece and vases for $16 apiece. Write an inequality that shows the possible combinations of $x$ flowers and $y$ vases that Jim can buy if he spends no more than $84$. Then graph the inequality.

Solution

Solution Steps

Step 1: Define the inequality

Jim buys flowers for \$4 each and vases for \$16 each. Let $ x $ be the number of flowers and $ y $ be the number of vases. The total cost should be no more than \$84.

The inequality is: \[ 4x + 16y \leq 84 \]

Step 2: Simplify the inequality

Divide the entire inequality by 4 to simplify: \[ x + 4y \leq 21 \]

Step 3: Express the inequality in terms of $ y $

Solve for $ y $: \[ y \leq \frac{21 - x}{4} \]

Final Answer

The inequality that shows the possible combinations of $ x $ flowers and $ y $ vases that Jim can buy if he spends no more than \$84 is: \[ y \leq \frac{21 - x}{4} \]

{"axisType": 3, "coordSystem": {"xmin": 0, "xmax": 21, "ymin": 0, "ymax": 6}, "commands": ["y = (21 - x)/4"], "latex_expressions": ["$y \\leq \\frac{21 - x}{4}$"]}

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!