1. Thomas wants to lose weight for the summer. He currently weighs 245 pounds. He wants to lose 5 pounds a month.
What is the linear equation that describes is weight loss?
If it is September, how much weight will Thomas lose by July (July not included)?
Explain your thought process for Parts A and B.
How about
W = 245 - 5m , where m is the number of months, and W is the weight in pounds.
calculate the number of months from Sept , (m=0) to July and sub into my equation.
2. Susan has a bank account in Bank of America. She takes out 600 dollars a month for rent. 3 month later, she has $3,200.
What is the linear equation that describes Susan’s situation?
How much did Susan start with in her bank account?
How many months will it take for Susan to run out of money if she does not work?
Explain your thought process for Parts A, B, and C.
x - 3y = 3200
y = 600
x - 3(600) = 3200
x = 5000
x/y = 12mths
sorry not 12 mths.
3200/600 = 5.3mths
A. To find the linear equation that describes Thomas' weight loss, we need to consider the rate at which he wants to lose weight. Thomas wants to lose 5 pounds per month. We can express this as the slope of the equation.
Let's assume his starting weight in January is represented by the variable 'W' and the number of months as 'M'. The weight loss equation can be written as:
Weight loss = Starting weight - (Rate of weight loss * Number of months)
W - 5M = Weight loss
Since Thomas wants to lose 5 pounds per month, the equation becomes:
W - 5M = 0
B. If it is currently September and Thomas wants to know how much weight he will lose by July (not including July), we need to find the number of months between September and July. There are 10 months between September and July.
Using the equation we found in Part A:
W - 5M = 0
We substitute the number of months (M) with 10, as Thomas wants to know the weight loss by July (not including July).
W - 5(10) = 0
Simplifying the equation, we get:
W - 50 = 0
To solve for W, we add 50 to both sides of the equation:
W = 50
Therefore, Thomas will lose 50 pounds by July (not including July).