Answer:
Total net earnings = 80+15(x-8)
If Daisy works 13 hours, she will be paid $155.
Step-by-step explanation:
Let Daisy works for x hours a day
She is paid $10 per hour for the first 8 hours she works in a day.
So, pay for the first 8 hours =10\times8=80 dollars
For every extra hour she works, she is paid 1.5 times her hourly wage.
The number of hours worked over 8 hours is given by = x-8
So, pay for the hours worked over 8 hours = 15(x-8) dollars
Total net earnings = 80+15(x-8)
And when x = 13
The pay is : 80+15(13-8)
= 80+15(5)
= 80+75 = 155 dollars
Answer:
1) y = 15(x-8) + 80
2) $155
Step-by-step explanation:
First blank:
use the linear expression form: y = mx + b
If Daisy is working more than 8 hours, (since the problem says x > 8), then she is getting $10 per hour guaranteed, which is $80 overall. So 80 will be our constant term, b
for every hour after 8, she is being paid 1.5 x 10, which is $15. This is our slope term, m.
So our expression is: y = 15(x-8) + 80
The reason we use x-8 instead of just x, is because x is the number of hours she works, but she will only be paid 15 bucks/hour when she works after 8 hours. So we need to subtract 8 from x to get the number of hours she works after the minimum 8.
Second Blank:
If Daisy works 13 hours, just replace x with 13 in our formula:
y = 15(x-8) + 80
y = 15(13-8) + 80
y = 15(5) + 80
y = 75 + 80
y = $155
If she works for 13 hours, she gets paid $85
Hare Krishna! :)
