a) The function that represent this situation is y = 90 + 8x.
b) His weight be after 8 weeks is 154 lbs.
<u>Step-by-step explanation:</u>
It is given that,
- He started at 90 kilograms.
- And gained weight at a constant rate of 8 lbs a week.
a) Write a function to represent this situation. Use x and y as your variables.
- Let 'x' be the number of weeks he gained weight.
- Let 'y' be the total weight.
Hence the equation can be framed as,
Total weight = starting weight + weight gained in x weeks.
We know that, each week he gains 8 lbs. Therefore, for 8 weeks he gained 8x lbs of weight.
⇒ y = 90 + 8x.
∴ The function that represent this situation is y = 90 + 8x.
b) What would his weight be after 8 weeks?
To find his week after 8 weeks, substitute x=8 in the function y = 90 + 8x.
⇒ 90 + 8(8)
⇒ 90 + 64
⇒ 154 lbs.
∴ His weight be after 8 weeks is 154 lbs.
