Question

drag each situation to the correct location on the table.
each situation represents a proportional relationship. drag each situation to the related equation on the table.
14 bags of ice for $53.90
18 bags of popcorn for $71.28
17 gallons of milk for $39.44
12 gallons of gas for $26.76
13 boxes of paper for $51.48
15 cups of coffee for $57.75

$y = 2.23x$	$y = 3.85x$
$y = 3.96x$	$y = 2.32x$

reset next

Explanation:

Step1: Calculate unit price for each situation

For 14 bags of ice: $\frac{53.90}{14}=3.85$
For 18 bags of popcorn: $\frac{71.28}{18}=3.96$
For 17 gallons of milk: $\frac{39.44}{17}=2.32$
For 12 gallons of gas: $\frac{26.76}{12}=2.23$
For 13 boxes of paper: $\frac{51.48}{13}=3.96$
For 15 cups of coffee: $\frac{57.75}{15}=3.85$

Step2: Match with equations

• $y = 2.23x$: 12 gallons of gas (unit price 2.23)
• $y = 3.85x$: 14 bags of ice, 15 cups of coffee (unit price 3.85)
• $y = 3.96x$: 18 bags of popcorn, 13 boxes of paper (unit price 3.96)
• $y = 2.32x$: 17 gallons of milk (unit price 2.32)

Answer:

• $y = 2.23x$: 12 gallons of gas for $\$26.76$
• $y = 3.85x$: 14 bags of ice for $\$53.90$, 15 cups of coffee for $\$57.75$
• $y = 3.96x$: 18 bags of popcorn for $\$71.28$, 13 boxes of paper for $\$51.48$
• $y = 2.32x$: 17 gallons of milk for $\$39.44$