Question

Write the inequality!! Connie’s dog Fido weighs 35 pounds. Her vet placed Fido on a diet. What inequality can you write to find the average number of pounds Fido must lose monthly to reach a healthier weight of 28 pounds within 6 months?

Answer 1

Answer:
`(35-28)/(x) \leq 6`

Explanation:

Let x be the average number of pounds Fido must loss.

Since, the initial weight of Fido is 35 pounds.

And, After losing the weight, the new weight of Fido in pounds = 28 pounds.

Then the time taken for losing the weight

=
`\frac{\text{ The weight it losses}}{\text{ Average of losing weight per month}}`

=
`(35-28)/(x)`

According to the question, it must lose weight within 6 months,

Thus,
`(35-28)/(x)\leq 6`

Which is the required inequality to find the average number of pounds per month.

By solving it we, get,
`x\geq (7)/(6)`