\quad\begin{aligned} &\dfrac{4}{5} +7 -\dfrac{5}{4} \\ =&\dfrac{4}{5} -\dfrac{5}{4}+7&\green{\text{St ep } 1} \\ \\ =&0+7&\blue{\text{Step } 2} \\ \\ =&7&\purple{\text{Step } 3} \\ \\ \end{aligned}
=
=
=


5
4

+7−
4
5


5
4

−
4
5

+7
0+7
7


Step 1
Step 2
Step 3


Find Becky's mistake

54

step-by-step explanation:

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:

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42