Answer:
(a)19.5 per hour
(b)Kaylee earns more per hour.
Step-by-step explanation:
a.) To find the unit rate/hourly rate :
39÷2=19.5 per hour.
b.)Kaylee eanrs more considering that Joey earns 16.50$ per hour as opposed to 19.50$ per hour.
Answer:
(a) Kaylee earns $19.50 per hour.
(b) Kaylee earns more money per hour than Joey.
Step-by-step explanation:
x = # of hrs. worked
y = amount of money earned
Joey:
y = 16.50x
Kaylee:
Time (h) 2, 5, 8, 10
Money earned ($) 39, 97.50, 156, 195
y = mx + b; Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We will be using: (2,39) and (8,156) to find the slope of this table.
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{156-39}{8-2} \\\\m=\frac{117}{6} \\\\m=19.5[/tex]
y = mx + b
y = 19.5x + b
I will be using (2, 39) to find the value of b
(2, 39)
y = 19.5x + b
39 = 19.5(2) + b
39 = 39 + b
-39 -39
0 = b
y = 19.5x + b ==> y = 17.7x + 0 = OR y = 19.5x (since the value of b is 0)
(a) The question wants us to find out how money Kaylee earns per hour. Recall that x = # of hrs. worked and y = amount of money earned.
y = 19.5x
She earns $19.50 per hour.
(b)
Joey: y = 16.50x (earns $16.50 per hour)
Kaylee: y = 19.5x (earns $19.50 per hour)
As you can see, Kaylee earns more money per hour than Joey.
Hope this helps!
