Tyler and Cassie both work as furniture movers on the weekends. The equation y = 35x + 50 represents the amount of money, y, Tyler earns after working hours. The equation y = 25x + 80 represents the amount of money, y, Cassie earns after working x hours. After working how many hours will Tyler and Cassie earn equal amounts?

No Tyler and Cassie will not earn equal amounts

Step-by-step explanation:

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there are two angles that are alternate interior angle with angle 9

the angle 15 and angle 7 are alternate interior angle with angle 9.

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the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: