Connie's puppy Fido weighs 12 pounds. The veterinarian says that Fido will gain weight at a steady rate for the next 6 months an
d weigh at least 27 pounds after that. What inequality can you write to find the average number of pounds the veterinarian expects Fido to gain monthly for the next six months?
x is defined as the average number of pounds Fido will gain each month. You multiply x by 6, as this is the amount of months you are calculating for, to get the amount of weight that Fido will gain in the next 6 months. You add this value to 12, as this was Fido's starting weight. You use the "greater than or equal to" sign because he is going to weigh at least 27 pounds, which means 27 at the minimum, and potentially more.
Since they are starting with 270, the y intercept is going to be 270, now since they are losing 15 food everyday, the slope is going to be -15 so the final equation is y=-15x+270