45. Jamies wages for 5 hours of work are $79.75. At this rate, how many hours does Jamie need to work to earn $100.00?
Answer: A
Jamie needs to work 5 x 100 / 79.75 hours to earn $100.00.
To determine how many hours Jamie must work to earn $100.00, the formula 5 x 100 / 79.75 can be used, which calculates the equivalent hours based on Jamie's current wage rate.
A) 5 x 100 / 79.75
This option is correct as it directly applies the formula for calculating hours worked based on the desired earnings and the current wage rate. By multiplying the total hours worked (5) by the target earnings ($100.00) and dividing by the current earnings ($79.75), it gives the number of hours Jamie must work to reach $100.00.
B) 79.75 / 5 x 100
This option is incorrect because it does not accurately represent the relationship between Jamie's hours worked and the amount he needs to earn. This calculation would yield the earnings per hour multiplied by 100, which does not help in determining the correct number of hours needed to reach $100.00.
C) 5 x 79.75 / 40 x 100
This option is incorrect as it introduces an unnecessary division by 40, which does not relate to the problem. The calculation does not provide a valid method to determine the hours Jamie needs to work for the specified earnings, making it irrelevant.
D) 5 x 79.75 x 100 / 100
This option is incorrect because it simplifies back to 5 x 79.75, which represents Jamie's current earnings for 5 hours of work and does not provide a way to calculate the hours needed to earn $100.00.
Conclusion
Option A is definitively the correct answer, as it accurately uses the wage rate to calculate the required hours for Jamie to earn $100. All other options fail to provide a correct or relevant calculation method to determine the hours needed to reach the target earnings. Thus, A is the only viable choice.