The propotinal realation ship between the gallons of gasoline used by sofia and the total number she drives, m, can be represented by the equation m, equals, 33, point, 2, 33, point, 2, gm = 33.2 g. what is the constant of proportinality between the number of miles driven and the number of gallons used?

17 answers

The constant of proportionality between the number of miles driven and the number of gallons used is 33.2.
the table below show the cost of downloading songs from a website
Number of songs Total cost
16 $17.60
18 $19.80
20 $22

If c represents the total cost in dollars and cent for any number of songs downloaded, s, write a proportional equation for c in terms of s that matches the context
Let's assume that the total cost for downloading a certain number of songs is directly proportional to the number of songs downloaded. We can write this as:

c = ks

Here, c represents the total cost in dollars and cents, s represents the number of songs downloaded, and k represents the constant of proportionality.

To find the value of k, we can use the given table. From the table, we can see that when 16 songs are downloaded, the total cost is $17.60. So, we can substitute these values into our equation:

17.60 = k * 16

Solving for k:

k = 17.60 / 16 = 1.10

Therefore, the proportional equation for c in terms of s is:

c = 1.10s
a proportional realtionship between the total number of minutes, m, that angel practices the piano after number of days, d, can be represented by the equation m = 33d. atwhat rate did he practice, in mines per day?
In this case, we know that the proportional relationship between the total number of minutes practiced by Angel and the number of days can be represented by the equation m = 33d.

The rate at which Angel practices the piano, in minutes per day, can be determined by looking at the coefficient of d in the equation. In this case, the coefficient is 33.

Therefore, Angel practices at a rate of 33 minutes per day.
the table shows Nevaeh earnings on the job

Time (hours) earnings (dollars)
19 $606.10
23 733.70
27 861.30

If e represents her total earnings in dollars and cents for any number of hours worked,h, write a proprtional for e in terms of h that macthes the context
Let's assume that Nevaeh's total earnings for working a certain number of hours is directly proportional to the number of hours worked. We can write this as:

e = kh

Here, e represents her total earnings in dollars and cents, h represents the number of hours worked, and k represents the constant of proportionality.

To find the value of k, we can use the given table. Let's take the first row as an example. When Nevaeh works for 19 hours, her earnings are $606.10. Substituting these values into our equation:

606.10 = k * 19

Solving for k:

k = 606.10 / 19 = 31.90

Therefore, the proportional equation for e in terms of h is:

e = 31.90h
the proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b = 1.75t. At what rate does the candle burn, in inches per hour?
In this case, we know that the proportional relationship between the number of inches the candle has burned away and the time in hours can be represented by the equation b = 1.75t.

The rate at which the candle burns, in inches per hour, can be determined by looking at the coefficient of t in the equation. In this case, the coefficient is 1.75.

Therefore, the candle burns at a rate of 1.75 inches per hour.
the table below show the cost of downloading songs from a website
Number of songs Total cost
13 $8.97
16 $11.04
18 $12.42

If c represents the total cost in dollars and cent for any number of songs downloaded, s, write a proportional equation for c in terms of s that matches the context
To represent the proportional relationship between the total cost of downloading songs and the number of songs downloaded, we can use the equation:

c = ks

Here, c represents the total cost in dollars and cents, s represents the number of songs downloaded, and k represents the constant of proportionality.

To find the value of k, we can use the given table. Let's take the first row as an example. When 13 songs are downloaded, the total cost is $8.97. So, we can substitute these values into our equation:

8.97 = k * 13

Solving for k:

k = 8.97 / 13 ≈ 0.6894

Therefore, the proportional equation for c in terms of s is:

c ≈ 0.6894s
A four sized figure is resized to create a called copy. This proportional realtion ship between any given side length in the original figure, f, and the corresponding side length in the scaled copy, s, can be the equation s = 11/2 f. what is the constant of proportinoality from side lengths in the original figure to side lengths in the scaled copy?
The constant of proportionality from side lengths in the original figure to side lengths in the scaled copy is 11/2.
the proportional relation ship reprsented by the equation b = 0.75 t. at what rate does the candle burn, in inches per hour?
From the equation b = 0.75t, we can see that the rate at which the candle burns, in inches per hour, is given by the coefficient of t, which is 0.75.

Therefore, the candle burns at a rate of 0.75 inches per hour.
tyee buys bottles of orange jucie at the corner store. assume each bottle of jucie is the same price. the proporinal relation ship between the number of juice bottles bought, j, and the total cost in dollar and cents, c, can be reprsented by the equation c = 0.54j. what is the cost in dollars and cents of each bottle of juice
From the equation c = 0.54j, we can see that the cost of each bottle of juice is given by the constant of proportionality, which is 0.54.

Therefore, each bottle of juice costs $0.54.