Question

Mr. Krabs is keeping a close eye on his income throughout the day. He noticed that after selling 5 Krabby Patties he had $62 in the register. Later on, after selling his 14th Krabby Patty of the day he had $98. Create a linear function and use it to determine how much money was in the register at the beginning of the day.
1.) f(x) = __x+__

2.) How much money was in the register at the beginning of the day?
a.) $43.50
b.) $39.50
c.) $37.00
d.) $42.00

Answer 1

Step-by-step explanation:

f(x) = ax + b

f(5) = 62 => 5a+b = 62

f(14) =98 => 14a+b= 98

________-

-9a = -36

a = -36/-9 = 4

5a + b = 62

5(4) +b=62

20+b = 62

b = 62-20

b = 42

1) f(x) = 4x + 42

2) the money was in the register at the beginning of the day = $42.00 (option d)