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help Mary ann and carlos are each saving for new scooters. Their savings are shown. Let x represent the number of hours each person works y represent the total earnings in dollars

after how many hours of work will mary ann and carlos have saved the same amount?

help Mary ann and carlos are each saving for new scooters Their savings are shown Let x represent the number of hours each person works y represent the total ea class=

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mhanifa

Answer:

  • 4 hours

Step-by-step explanation:

Use a couple of ordered pairs on the graph and get the equation of the line:

  • (0, 2), (1, 10)

The y-intercept is 2 and the slope is 10 - 2 = 8

The line is

  • y = 8x + 2

Solve the system of equations by substitution to find the intersection

  • y = 6x + 10
  • y = 8x + 2
  • 6x + 10 = 8x + 2
  • 8x - 6x = 10 - 2
  • 2x = 8
  • x = 4

They will work 4 hours to get same amount of saving

semsee45

Answer:

4 hours

Step-by-step explanation:

First, create a linear equation for Carlos using the graph.

Two points on the line:  (0, 2) and (1, 10)

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{10-2}{1-0}=8[/tex]

Use the point-slope equation with the found slope and one of the points:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-2=8(x-0)[/tex]

[tex]\implies y=8x+2[/tex]

Now equate the equations for Mary Ann and Carlos, and solve for x:

[tex]\implies 6x+10=8x+2[/tex]

[tex]\implies 8=2x[/tex]

[tex]\implies x=4[/tex]

Therefore, Mary Ann and Carlos have saved the same amount after 4 hours work.

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