Matt makes $80 a month mowing lawns. his friend james also mows lawns, but he makes x dollars less per month than matt does. james makes $816 per year. how much less each month does james make than matt? which expression represents the amount of money james makes each month? which equation represents the scenario?

James makes $12 less each month than Matt.

80 - x

12(80 - x) = 816

Step-by-step explanation:

Matt makes $80 per month.

Jame makes x dollars less than Matt per month,

so James makes $80 - x per month.

In one year, Matt makes 12 * $80.

In one year, James makes 12 * (80 - x), and he makes $816,

so 12(80 - x) mus equal 816.

12(80 - x) = 816

960 - 12x = 816

-12x = - 144

x = 12

James makes $12 less each month than Matt.

James makes 12 dollars less per month than Matt

James = 80-x per month

Step-by-step explanation:

Matt = 80 per month

James = 80-x per month

To determine what James makes per year, multiply by 12 months

Earnings of James per year = 12(80-x)

                                              = 960 -12x

James makes 816 per year

                                    816 = 980-12x

Subtract 980 from each side

                       816-980 = 980-980-12x

                                 -144= -12x

Divide by -12

                               -144/-12 = -12x/-12

                                          12=x

James makes = 80-x per month

                        = 80-12

                         = 68 per month

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: