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?

Respuesta :

Answer:   [tex]\frac{35-28}{x} \leq 6[/tex]

Step-by-step 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

= [tex]\frac{\text{ The weight it losses}}{\text{ Average of losing weight per month}}[/tex]

= [tex]\frac{35-28}{x}[/tex]

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

Thus,   [tex]\frac{35-28}{x}\leq 6[/tex]

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

By solving it we, get,    [tex]x\geq \frac{7}{6}[/tex]