Question

1. at a college, the cost of tuition increased by 10%. let b represent the former cost of tuition. use the expression b + 0.10b for the new cost of tuition.

part a
write an equivalent expression for the new cost of tuition.
part b
what does your equivalent expression tell you about how to find the new cost of tuition?

Explanation:

Step1: Factor out common variable

$b + 0.10b = b(1 + 0.10)$

Step2: Simplify the sum inside parentheses

$1 + 0.10 = 1.10$, so $b(1.10) = 1.10b$

(Part B):
The equivalent expression $1.10b$ shows that the new tuition cost is 110% of the original cost $b$. To find the new cost, you multiply the original tuition amount by 1.10, which directly calculates the original cost plus a 10% increase in one step.

Answer:

(Part A):
$1.10b$