Answer :
Answer:
Step-by-step explanation:
To find the relationship between the number of hours worked (x) and the money earned before taxes (y), we can set up a system of equations based on the information provided.
Let's denote:
- \( x_1 \) as the number of hours worked in the first work cycle (45 hours).
- \( x_2 \) as the number of hours worked in the second work cycle (85 hours).
- \( y_1 \) as the money earned before taxes in the first work cycle ($1,425).
- \( y_2 \) as the money earned before taxes in the second work cycle ($2,625).
We have two equations:
1. \( x_1 + x_2 = x \) (Total hours worked = hours worked in the first cycle + hours worked in the second cycle)
2. \( y_1 + y_2 = y \) (Total money earned = money earned in the first cycle + money earned in the second cycle)
We can solve this system of equations:
Given:
- \( x_1 = 45 \)
- \( x_2 = 85 \)
- \( y_1 = 1425 \)
- \( y_2 = 2625 \)
1. \( 45 + 85 = x \)
\( x = 130 \)
2. \( 1425 + 2625 = y \)
\( y = 4050 \)
So, the relationship between the number of hours worked (x) and the money earned before taxes (y) can be represented by the equation:
\[ y = 31.15x \]
Answer:
y = 30x + 75
Step-by-step explanation:
(45, 1425)
(85, 2625)
y = mx + b
m = (2625 - 1425)/(85 - 45)
m = 1200/40
m = 30
y = 30x + b
2625 = 30(85) + b
b = 75
y = 30x + 75