Karen earns 28.50 for working six hours. If the same amount m she earns varies directly with h the number of hours she works , how much will she earn for working 10 hours?

28.50/6 = x/10

Multiply both sides by 10, then divide the left side by 6.

To solve this problem, we can set up a direct variation equation:

m = kh

Where:
m = amount Karen earns
h = number of hours Karen works
k = constant of variation

From the given information, we know that Karen earns $28.50 for working 6 hours. Using this information, we can find the value of k.

28.50 = k * 6

Divide both sides of the equation by 6 to isolate k:

k = 28.50 / 6

Simplify the equation:

k = 4.75

Now that we have the value of k, we can use it to find how much Karen will earn for working 10 hours. Substitute h = 10 into the equation:

m = 4.75 * 10

Multiply:

m = 47.50

Therefore, Karen will earn $47.50 for working 10 hours.

To find out how much Karen will earn for working 10 hours, we need to use the concept of direct variation. Direct variation is a relationship where two variables, in this case, the amount Karen earns (m) and the number of hours she works (h), are directly proportional to each other.

In this scenario, we know that Karen earned $28.50 for working 6 hours. To find the constant of variation (k), we can set up a proportion:

28.50 / 6 = m / 10

To solve for m, let's first cross multiply:

(28.50)(10) = 6m

285 = 6m

Now, divide both sides of the equation by 6:

m = 285 / 6

m = 47.50

Therefore, Karen will earn $47.50 for working 10 hours.

I don't understand