the ratio of an executives expenses to income is 5 to 8. What are the executives expenses of a month when the income is $9,800?

5/8 = x/9,800

Cross multiply and solve for x.

Thank you so much

You're very welcome.

To find the executive's expenses for a month when the income is $9,800, we need to use the given ratio of expenses to income, which is 5 to 8.

Step 1: Understand the ratio
The ratio of expenses to income is 5 to 8, which means for every 5 units of expenses, there are 8 units of income.

Step 2: Set up the proportion
To find the missing value (expenses), we can set up a proportion using the given ratio and income value:
expenses/income = 5/8

Step 3: Solve the proportion
To find expenses, we need to isolate the expenses variable in the proportion and then solve for it. We can do this by cross-multiplying:
expenses = (5/8) * income

Step 4: Plug in the values
Substitute the given income value of $9,800 into the formula:
expenses = (5/8) * $9,800

Step 5: Calculate the expenses
Multiply the fractions and the income value:
expenses = (5/8) * $9,800
= ($49,000 / 8)
= $6,125

Therefore, the executive's expenses for a month when the income is $9,800 are $6,125.