Question

Fatimah works two shifts per day at the pizza shop. During her storefront shift, she sells her pizzas at a rate of 6 pizzas per hour. During her delivery shift, she sells 20 pizzas per night. Write an equation in slope-intercept form that represents the number of pizzas that Fatimah sells in one day if she works x hours.
A-y=1/6x-20
B-y=20x+6
C-y=6x+20
D-y=-6x+20

Answer 1

C: y = 6x+20 Let's construct our own equation and then see if one of the available options matches. "During her storefront shift, she sells her pizzas at a rate of 6 pizzas per hour" This sounds like the equation should be: 6x Since for every hour (represented by x) she sells 6 pizzas. Now we have: "During her delivery shift, she sells 20 pizzas per night." Notice that there's no mention of anything per hour. If she does the delivery shift, she sells a constant 20 pizzas. So let's modify our equation to: 6x + 20 And since we want it in slope intercept form, let modify a bit further: y = 6x + 20 Now look at the available options and see if there's anything that matches. And there is ... Option C is a perfect match.