Question

Please answer soon.

Answer 1

Answer-

Set of constraints to model the problem are,

$12x+9y\geq 510\\y \leq 2x\\y \geq 25$

Solution-

Let us assume,

x = the number of lawns weeded by Gwen,

y = the number of dogs walked by Fabio.

Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

$\text{Earnings of Gwen} = 12x\\\text{Earnings of Fabio} = 9y\\\text{Total earnings of Gwen and Fabio} = 12x+9y$

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.

An equation for this situation will be,

$12x+9y\geq 510$

The number of dog walked by Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means y must be less than or equal to 2x.

An equation for this situation will be,

$y \leq 2x$

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

An equation for this situation will be,

$y \geq 25$