Question

Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression represents the total amount of money Mike earned for both weeks? *

Answer 1

The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

Solution:

Given that, Mike earned x dollars the first week of his new job

He earned 5% more the second week than the first week

To find: Total amount earned in both weeks

From given,

Amount earned in first week = "x" dollars

Amount earned in second week = 5 % more than first week

Therefore,

Amount earned in second week = x + 5 % of x

$\rightarrow x + 5 \% \times x\\\\\rightarrow x + \frac{5}{100} \times x\\\\\rightarrow x + 0.05x = 1.05x$

Thus amount earned in second week = 1.05x dollars

The total amount earned in both weeks:

Total amount = Amount earned in first week + Amount earned in second week

$Total\ Amount = x + 1.05x = 2.05x$

Thus the expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

Answer 2

An expression that represents the total amount of money Mike earned for both weeks is $T = x + 0.05x$

• Let Mike's  weekly earnings be x.

• Let the total earnings be T.

To determine an expression that represents the total amount of money Mike earned for both weeks:

In this exercise, you're required to write a mathematical equation (algebraic expression) that can be used to calculate the total amount of money Mike earned for both weeks i.e the first and second week.

Translating the word problem into an algebraic expression, we have;

For the first week:

$Earnings = x$

For the second week:

"5% more than the first week"

$Earnings = x +\frac{5x}{100} \\\\Earnings = 1.05x\\\\Earnings = x +0.05x$

For the total earnings:

$Total \;earnings = x + 0.05x$

Read more: https://brainly.com/question/16068904