Which of the following scenarios has a lower y-intercept than y = 4x + 5 ?(a.) A 50 gallon tub is draining. Every 2 minutes, the amount of water decreases by 2 gallons.(b.) Reginaldo had $17 in his account and for every book he buys, it costs him $4.(c.) Sydney has collected 8 postcards. Each time a friend comes to visit, Sydney gives her a postcard.(d.) Owen has 3 pets. He receives a new pet each time he has a birthday.
Accepted Solution
A:
Comment The key to this question is "What do you start with?" All of them (except D) start with something and then a condition reduces the starting point. A The condition (at zero) starts with 50 gallons. Every 2 minutes the amount taken away is 2 gallons. The equation looks like this y = -2x + 50 So what do you start with? You started with 50 gallons. That's your y intercept. It's big. A is NOT the answer.
B Renaldo starts with 17 dollars. He hasn't done anything, and he still has 17 dollars. If he buys a book, he has 4 dollars less. So his equation is y = -4x + 17. The y intercept is 17 if he has bought no books. The answer is NOT B
C Sydney starts with 8 postcards. Every time a friend comes, Sydney has 1 less post card. Her equation is y = 8 - x That's not the answer either.
D What do you start with? 3 pets, correct? Every birthday Owen get's one more. But the starting point is three. So his equation is y= 3 + x where x is the number of birthdays. D has the lowest starting point.