Question

The equation P=2.5m+35 represents the price P (in dollars ) of a bracelet, where m is the cost of the materials (in dollars ). The price of a bracelet is $115. What is the cost of the materials?

Answer 1

To find the cost of materials for a bracelet priced at $115 according to the given equation, we solve for m in P = 2.5m + 35 by substituting P with 115, yielding a material cost of $32.

Step-by-step explanation:

The student has provided the equation P = 2.5m + 35, which represents the price P (in dollars) of a bracelet as a function of the cost of materials m (in dollars). They have stated that the price of a bracelet is $115. To find the cost of materials, we simply need to replace P in the equation with 115 and solve for m:

115 = 2.5m + 35

First, subtract 35 from both sides of the equation:

80 = 2.5m

Now, divide both sides by 2.5:

m = 32

So, the cost of materials m for the bracelet is $32.