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.

Answers:

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

Step-by-step 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

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: