Sally is on a diet to lose some weight. She is losing weight at a rate of 2 pounds
per week. After 6 weeks, her weight is 204 pounds. Write and solve a linear
equation to find how many weeks it will take Sally to reach her target weight of 180
pounds.

Question

07-03-2022
Mathematics

Answered

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Sally is on a diet to lose some weight. She is losing weight at a rate of 2 pounds
per week. After 6 weeks, her weight is 204 pounds. Write and solve a linear
equation to find how many weeks it will take Sally to reach her target weight of 180
pounds.

Sagot :

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pach2849 pach2849 · Answer 1 · 2022-03-07T20:59:33-05:00

Answer:

204-2w=180 (where w is the amount of weeks)

w=12

(If you need the total amount, including the 6 weeks, add 6 to 12 to get 18)

Step-by-step explanation:

Sally is technically starting at 204 pounds and losing 2 per week. Therefore, that can be modeled as 204-2w because if she loses 2 per week you subtract that from the starting weight. You want to then set it equal to 180 and solve for w.

[tex]204-2w=180\\-2w=-24\\w=12[/tex]

Sagot :

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