Oscar has been slimming down for his upcoming competition. His weight loss can be modeled by the function [tex]\( W = 235 - 2.5t \)[/tex], where [tex]\( W \)[/tex] is the weight in pounds, and [tex]\( t \)[/tex] is the time in weeks.

How many weeks will it take Oscar to reach 220 pounds?

A. 3 weeks
B. 6 weeks
C. 8 weeks
D. 10 weeks

Given equation: [tex]\( 220 = 235 - 2.5t \)[/tex]. Solve for [tex]\( t \)[/tex].

Certainly! Let's work through the problem step-by-step.

Oscar's weight loss can be described by the function [tex]\( W = 235 - 2.5t \)[/tex], where [tex]\( W \)[/tex] is his weight in pounds and [tex]\( t \)[/tex] is the time in weeks. We want to find out how many weeks it will take for Oscar to reach a weight of 220 pounds.

1. Set up the equation: We want Oscar's weight to be 220 pounds, so we set up the equation:
[tex]\[
220 = 235 - 2.5t
\][/tex]

2. Solve for [tex]\( t \)[/tex]:

- Start by isolating the term with [tex]\( t \)[/tex]. Subtract 235 from both sides of the equation:
[tex]\[
220 - 235 = -2.5t
\][/tex]
[tex]\[
-15 = -2.5t
\][/tex]

- Now, solve for [tex]\( t \)[/tex] by dividing both sides by -2.5:
[tex]\[
t = \frac{-15}{-2.5}
\][/tex]
[tex]\[
t = 6
\][/tex]

So, it will take Oscar 6 weeks to reach 220 pounds. The correct answer is B. 6.