A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotics is given by d<1/5w^2, where d is dosage in milligrams and w is the dog’s weight in pounds. Which of the following order pairs gives an effective dosage of antibiotics for a 35-pound dog?

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

it has the same slope and a different y-intercept

hope this : )