Rewrite Expressions
Hailey just had lunch at the Sushi Palace, and she wants to leave an 18% tip. She writes the expression b + 0.18b to compute her bill with a tip, where b is her bill before the tip.
Which expression is equivalent to Hailey's expression?
Responses
A 1.18b
1.18b
B 0.18(2b)0.18(2b)
C 1.18(2b)1.18(2b)
D 2(1.18b)
A 1.18b
The correct expression that is equivalent to Hailey's expression b + 0.18b is A) 1.18b.
In this question, we need to rewrite the expression "b + 0.18b" in an equivalent form. Let's break down each option and determine which one is equivalent to the given expression.
A. 1.18b
One possible answer is A, which is 1.18b. To check if it is the correct choice, we can simplify the expression "b + 0.18b" by factoring out the common factor of b:
b + 0.18b = (1 + 0.18)b = 1.18b
So, option A is indeed equivalent to Hailey's original expression.
B. 0.18(2b)
Option B is 0.18 times 2b. To check if it is equivalent, we simplify it:
0.18(2b) = 0.36b
This is not the same as Hailey's original expression, so option B is not the correct choice.
C. 1.18(2b)
Option C is 1.18 times 2b. Let's simplify it to check if it is equivalent:
1.18(2b) = 2.36b
This is not the same as Hailey's original expression, so option C is not the correct choice.
D. 2(1.18b)
Option D is 2 times 1.18b. Let's simplify it to check if it is equivalent:
2(1.18b) = 2.36b
This is not the same as Hailey's original expression, so option D is not the correct choice.
After analyzing each option, we can conclude that the equivalent expression to Hailey's original expression "b + 0.18b" is option A: 1.18b.