Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5 pounds a week. Which equation shows when Roy and Luis will weigh the same? Use w for the number of weeks.
a 150 + 1.5w = 200 + 2.5w
b 350 = -4w
c 150w - 1.5 = 200w - 2.5
d 150 - 1.5w = 200 - 2.5w

d 150 - 1.5w = 200 - 2.5w

Step-by-step explanation:

To write an expression for this problem, we call:

= number of weeks

Roy weighs 150 pounds at the beginning, and he plans to lose 1.5 pounds per week; this means that his weight after w weeks is

Luis weighs 200 pounds at the beginning, and his weight decreases by 2.5 pounds per week, so the expression for his weight after w weeks is

Roy and Luis have the same weight when

Therefore,

Which is option D.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x