Write a system of inequalities that represents all the possible solutions. Give two possible solutions for the system of inequalites

Question

Kelly works for her dad and makes $6.99 per hour. She also works for Jana's mowing service and makes $14.99 per hour. She needs to make at least $84, and can work no more than 10 hours total

Answer 1

Let the no of hours she forks for her father and janas mowing survice be x and y hours respectively

According to question

We have 6.99x+14.99y≥ 84 &

x+y≤10

We can use graphical method to solve the system of linear inequalities.

Answer 2

x hours worked for dad

y hours worked for moving service

total hours worked less than 10

x + y < 10

x*6.99 = money earned working for dad

y*14.99 = money earned working for moving service

total money earned at least 84$

x*6.99 + y*14.99 > 84

Answer 3

d represents the hours she works for dad

10 - d represents the hours she works for Jana

6.99d + 14.99(10 - d) ≥ 84.00

Can you solve for d and answer?