Question

Marcus earns p dollars per week at a part-time job. His supervisor plans to give him a 15% raise. Marcus writes the following expression to calculate his weekly pay after the raise: p+0.15p

Which expressions are equivalent to the one Marcus wrote? Drag and drop each expression to the correct box to identify whether it is equivalent or not equivalent.

Answer 1

just took the test but don't know how to explain so here is the answer

Correct answers for equivalent

p(1 + 0.15)

1.15p

Correct answer for Not Equivalent

2p + 0.15

0.15 (2p)

2.15p

Explanation:

Answer 2

Answers:

p(1+0.15) and 1.15p are equivalent.

Explanation:

Substitute p for 100 and do the expression given.

100 + (0.15 x 100) = 115

Now do the other expression with 100 as the substitute.

0.15(2 x 100) = 30

0.85 x 100 = 85

1.15 x 100 = 115

2.15 x 100 = 215

(2 x 100) + 0.15 = 200.15

100(1 + 0.15) = 115