each situation represents a proportional relationship. Drag each situation to the related equation on the table.
12 gallons of gas for $26.76
18 bags of popcorn for $71.28
13 boxes of paper for $51.48
15 cups of coffee for $57.75
17 gallons of milk for $39.44
14 bags of ice for $53.90
y= 2.23x
y = 3.85x
y = 3.96x
y= 2.32x
12 gallons of gas for $26.76: y = 2.23x
18 bags of popcorn for $71.28: y = 3.96x
13 boxes of paper for $51.48: y = 3.96x
15 cups of coffee for $57.75: y = 3.85x
17 gallons of milk for $39.44: y = 2.32x
14 bags of ice for $53.90: y = 3.85x
the height of a widescreen monitor is proportional to its length. the table lists the length, l, and the height, h, of a few widescreen monitors.
which equation represents the proportional relationship between the lengths and heights of widescreen monitors?
length, l (in inches) | height, h, (in inches
14.4 8.1
17.6 9.9
19.2 10.8
20.8 11.7
22.4 12.6
24.0 13.5
which equation represents the proportional relationship between the lengths and heights of widescreen monitors?
To determine the equation that represents the proportional relationship between the lengths and heights of widescreen monitors, we need to calculate the ratios of the heights to the lengths for each pair of values.
For the given data, we have:
Ratio: h/l
14.4/8.1 ≈ 1.7778
17.6/9.9 ≈ 1.7778
19.2/10.8 ≈ 1.7778
20.8/11.7 ≈ 1.7778
22.4/12.6 ≈ 1.7778
24.0/13.5 ≈ 1.7778
We can see that all the ratios are approximately equal to 1.7778.
Therefore, the proportional relationship between the lengths and heights of the widescreen monitors can be represented by the equation:
h = 1.7778 * l
which equation could be used to find the number of days, d, in h, hours?
24h = d
24/h = d
h/24 = d
24 + h = d
The equation that could be used to find the number of days, d, in h hours is:
h/24 = d
a baker makes icing for his cakes using cocoa powder and honey. the diagram below shows the relationship between the number of cups of honey and the number of cups of cocoa powder used. in the equations below y represents cups of cocoa powder, and x represents cups of honey. which equation represents the proportional relationship in this diagram?
Since the diagram was not provided, I cannot determine which equation represents the proportional relationship in this scenario. Please provide the diagram or additional information for further assistance.
the diagram is 2 cups of coffee to 3.5 cups of cocoa powder used
Based on the given information, the relationship between the number of cups of honey (x) and the number of cups of cocoa powder (y) used can be represented by the equation:
y = (3.5/2) * x
Therefore, the equation that represents the proportional relationship in this diagram is:
y = 1.75x
To determine which equation represents each proportional relationship, we need to find the constant of proportionality in each situation. The constant of proportionality, denoted as "k," is the ratio of the two variables involved in the relationship.
Let's calculate the constant of proportionality for each situation:
1. For 12 gallons of gas costing $26.76, we divide the total cost by the number of gallons:
k = 26.76 / 12
= $2.23
2. For 18 bags of popcorn costing $71.28:
k = 71.28 / 18
= $3.96
3. For 13 boxes of paper costing $51.48:
k = 51.48 / 13
= $3.96
4. For 15 cups of coffee costing $57.75:
k = 57.75 / 15
= $3.85
5. For 17 gallons of milk costing $39.44:
k = 39.44 / 17
= $2.32
6. For 14 bags of ice costing $53.90:
k = 53.90 / 14
= $3.85
Now, let's match each situation with the corresponding equation:
1. 12 gallons of gas for $26.76 - This matches with y = 2.23x because the constant of proportionality is $2.23.
2. 18 bags of popcorn for $71.28 - This matches with y = 3.96x because the constant of proportionality is $3.96.
3. 13 boxes of paper for $51.48 - This also matches with y = 3.96x because the constant of proportionality is $3.96.
4. 15 cups of coffee for $57.75 - This matches with y = 3.85x because the constant of proportionality is $3.85.
5. 17 gallons of milk for $39.44 - This matches with y = 2.32x because the constant of proportionality is $2.32.
6. 14 bags of ice for $53.90 - This also matches with y = 3.85x because the constant of proportionality is $3.85.
So, the correct matches are:
y = 2.23x for 12 gallons of gas for $26.76
y = 3.96x for 18 bags of popcorn for $71.28 and 13 boxes of paper for $51.48
y = 3.85x for 15 cups of coffee for $57.75 and 14 bags of ice for $53.90
y = 2.32x for 17 gallons of milk for $39.44