Rachel is ordering pizza. tony’s pizza charges $7 for a large cheese pizza plus $0.75 for each additional topping. maria’s pizza charges $8 for a large pizza plus $0.50 for each additional topping. for what number of toppings will the cost of a large pizza be the same at either restaurant?

let no. of toppings = x

cost of tony's ppizza = 7 + 0.75x

cost of maria's pizza = 8 + 0.5x

according to question:

8 + .5x = 7+ .75x

=> 0.25x = 1

=> x = 4

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!

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.