Final Answer:
The tips for the $14.80 order and the $5.20 order are proportional to Mikel's tip, while the tip for the $10.50 order is not proportional.
Step-by-step explanation:
To determine whether each tip is proportional to Mikel's tip, we need to compare the ratio of the tip to the total order cost for each situation to the ratio in Mikel's original tip.
First, let's find the ratio of Mikel's tip to his order cost.
Mikel's tip: $1.32
Mikel's order cost: $8.80
The ratio is:
Mikel's tip ratio = (Mikel's tip)/(Mikel's order cost) = 1.32/8.80
Simplify that by dividing both numbers by 1.32:
Mikel's tip ratio = 1/6.67
Using this ratio, we can determine if the other tips are proportional by comparing their ratios to Mikel's.
1. $2.22 tip for a $14.80 order
First, find the ratio of the tip to the order cost:
Tip ratio = 2.22/14.80
Simplify the ratio by dividing both numbers by 2.22:
Tip ratio = 1/6.67
This ratio matches Mikel's tip ratio. Therefore, the $2.22 tip for a $14.80 order is proportional to Mikel's tip.
2. $1.86 tip for a $10.50 order
Find the ratio of the tip to the order cost:
Tip ratio = 1.86/10.50
Simplify the ratio by dividing both numbers by 1.86:
Tip ratio = 1/5.65
This ratio does not match Mikel's tip ratio. Therefore, the $1.86 tip for a $10.50 order is not proportional to Mikel's tip.
3. $0.78 tip for a $5.20 order
Find the ratio of the tip to the order cost:
Tip ratio = 0.78/5.20
Simplify the ratio by dividing both numbers by 0.78:
Tip ratio = 1/6.67
This ratio does match Mikel's tip ratio. Therefore, the $0.78 tip for a $5.20 order is proportional to Mikel's tip.
In summary, the tips for the $14.80 order and the $5.20 order are proportional to Mikel's tip, while the tip for the $10.50 order is not proportional.
Complete question:
Mikel gave a $1.32 tip for an order that cost $8.80. Determine whether or not each tip below is proportional to Mikel's tip. $2.22 tip for a $14.80 order $1.86 tip for a $10.50 order $0.78 tip for a $5.20 order