Respuesta :
Answer:
Equation: 175 = -2x + 217
Solve for x: x = 21 weeks
Step-by-step explanation:
Since Alex is losing weight at a consistent rate of 2 pounds per week, we can write a linear equation to represent his weight after a certain number of weeks. Linear equations are typically written in the form: y = mx + b, where y = total, m = slope/rate, x = independent variable and b = initial value. In this case, y = Alex's weight, m = rate of 2 pounds per week, x = number of weeks and b = Alex's initial weight. Since we know that Alex loses 2 pounds per week and after 6 weeks he weighs 205, than we know that his original weight must be 205 + 12 (the number of pounds he's lost so far) = 217. Now that we know all of our variable but 'x' (the number of weeks), we can set up our linear equation and solve:
175 = -2x + 217
Subtract 217 from both sides: 175 - 217 = -2x
Divide by -2 on both sides: -42/-2 = -2x/-2
Solve for x: x = 21 weeks
Alex is on a diet to lose some weight. He is losing weight at a rate of 2 pounds per week. After 6 weeks, he weighs 205 pounds.
Given : 175 = -2x + 217
Here we can see that
Alex is losing weight at a consistent rate of 2 pounds per week, we will write a linear equation to represent Alex weight after a certain weeks.
Linear equations y = mx + b, where,
y = Total Alex weight
m = slope/rate = 2 pounds/weeks
x = independent variable ( numbers of week)
b = Alex initial value.
In this case,
Since , we are shown that Alex loses 2 pounds per week and after 6 weeks he weighs 205, than
Alex's original weight = 205 + 12 = 217.
Now, according to our variables, we can set up our linear equation and solve:
175 = -2x + 217
175 - 217 = -2x
-42/-2 = -2x/-2
x = 21 weeks
Therefore, 21 weeks it will take Alex to reach his target weight of 175 pounds.
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