Direct Variation: when you have a job
that pays an hourly wage, the amount you earn varies directly with the number of hours you work. Suppose you earn $7.10/ hour working at the library.
you don't have enough information for this problem
For whatever the time period, multiply $7.10 by the number of hours worked.
Does that help? If not, repost with adequate data.
To determine the amount you earn for a given number of hours worked, you can use the formula for direct variation:
y = kx
Where:
y is the amount you earn,
k is the constant of variation, and
x is the number of hours you work.
In this case, you earn $7.10 per hour, so k = $7.10. This means that for each hour you work, you will earn $7.10.
To find the amount you will earn for a specific number of hours, simply substitute the value of x into the equation. For example, if you work 10 hours:
y = 7.10 * 10
y = $71.00
So, if you work 10 hours at the library, you will earn $71.00.
To understand direct variation in this context, it means that the amount you earn is directly proportional to the number of hours you work. In other words, if you work more hours, you will earn more money, and if you work fewer hours, you will earn less money.
In this specific example, you mentioned that you earn $7.10 per hour working at the library. This means that for every hour you work, you earn $7.10.
To calculate how much you would earn for a specific number of hours worked, you can use the formula for direct variation:
y = kx
Where:
- y represents the amount you earn
- k represents the constant of direct variation
- x represents the number of hours worked
In this case, k would be $7.10 since you earn $7.10 per hour.
Let's say you worked 10 hours, to find out how much you would earn, you can substitute the values into the equation:
y = 7.10 * 10
y = 71
So, if you work 10 hours at the library, you would earn $71.
Similarly, you can use this formula to calculate your earnings for any given number of hours worked.