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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

Respuesta :

ferrybukantoro

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)

igoroleshko156

Step-by-step explanation:

Step 1:  Determine the slope or rate of change

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{98-62}{14-5}[/tex]

[tex]m=\frac{36}{9}[/tex]

[tex]m=4[/tex]

This means that they get $4 per Krabby Patty that they sell

Step 2:  Determine how much money was in the beginning of the day

[tex]\$62 - (5 * \$4)[/tex]

[tex]\$62 - \$20[/tex]

[tex]\$42[/tex]

Step 3:  Create a equation

[tex]f(x) = slope * x + initial\ money[/tex]

[tex]f(x) = 4x + 42[/tex]

Answer part (1) → [tex]f(x) = 4x + 42[/tex]

Answer part (2) → Option D, [tex]\$42[/tex]

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