Final answer:
Gary can calculate his new hourly rate after a 6% raise with two appropriate methods: multiplying his original rate by 0.06 and adding this to his original rate, or multiplying his original rate by 1.06. Other methods provided do not correctly calculate the increase.
Step-by-step explanation:
When Gary receives a pay raise of 6%, he can calculate his new hourly rate using various methods. Here is the evaluation of the provided methods:
- a. Calculate 15% of 6 - No, because this operation doesn't represent how to correctly calculate a percentage increase in pay.
- b. Multiply 15 by 0.06 and add this result to 15 - Yes, because this method accurately reflects a 6% pay increase.
- c. Multiply his original pay by 1.06 - Yes, because this calculation includes the 6% increase within the original pay.
- d. Solve the equation (15 / 100) * x = 15 - No, because this equation is not relevant to calculating a raise. It seems to be attempting to solve for x as a percentage of 15, which doesn't correlate with a pay raise.
- e. Add 56 to his original pay - No, because simply adding 56 to his original pay does not accurately reflect a 6% raise.
To calculate a percentage increase in salary, you multiply the original salary by the percentage expressed as a decimal (for example, a 20% increase from a $10 salary would be $10 * 0.20 = $2, resulting in a new rate of $12). Therefore, only methods b and c are appropriate for Gary to calculate his new hourly rate after a 6% raise.