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Vanyuwa [196]
3 years ago
15

Isaiah is mowing lawns for a summer job for every mountain Charlie charges an initial fee of $10 plus $6 dollars for each additi

onal hour
1. write an equation in slope intercept form
2. how much money does he make after working one job for four hours
Mathematics
1 answer:
harina [27]3 years ago
8 0

Answer:

y = 6x + 10

Isaiah makes $34.00 after working for 4 hours.

Step-by-step explanation:

Slope intercept form is y=mx+b

In this situation the equation would look like so, x = amount of hours:

y = 6x + 10

To solve for how much Isaiah earns after 4 hours plug in 4 instead of x.

y = 6(4) + 10

y = 24 + 10

y = 34

Isaiah makes $34.00 after working for 4 hours.

Hope that helps and have a great day!

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Answer:

a) Infinite solutions

b) No solutions

Step-by-step explanation:

First, know the following:

If the graphs intersect, there's only one solution.

If the graphs are parallel, there are no solutions.

If the graphs are the exact same line, there are infinite solutions.

For a):

Change the first equation into a linear one.

  • 2x+3y=6
  • 3y=-2x+6
  • y=-\frac{2}{3} x+2

Change the second equation into a linear one.

  • 4x+6y=12
  • 6y=-4x+12
  • y=-\frac{2}{3} x+2

Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.

For b)

They are already in linear form so hurray.

y=\frac{1}{5} x+2\\y=\frac{1}{5} x+10\\

These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.

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3 years ago
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