a gym employee is paid monthly. After working for three months, he had earned $4,500. Το determine how much money he will make working for that period, he breated the table below.
2. After how many months will the gym employee have made $19,500?
3. Write an equation to represent the constant a proportionality.
MONTH
TOTAL EARNINGS
Y
1. If he continues to earn at the same rate, how much will he have earned after working 5 months?
1
2
3
4
5
6
To determine how much money the gym employee will make working for a certain period, we first need to find the constant rate of earning per month. We can do this by dividing the total earnings by the number of months worked.
From the given information, the gym employee earned $4,500 after working for three months. So, the monthly rate of earning is $4,500/3 = $1,500 per month.
2. To find how many months the gym employee will have made $19,500, we can set up the equation:
$1,500 per month x months = $19,500
Dividing both sides by $1,500, we get:
months = $19,500 / $1,500 = 13 months
So, the gym employee will have made $19,500 after 13 months.
3. The equation to represent the constant proportionality can be written as:
Total earnings (Y) = Monthly rate of earning (a) x Number of months (x)
Therefore, the equation is:
Y = ax
1. To find how much the gym employee will have earned after working 5 months, we can use the same equation. Substituting the values into the equation:
Y = $1,500 per month x 5 months = $7,500
So, the gym employee will have earned $7,500 after working 5 months.