At the beginning of the year, Alexa had $40 in savings and saved an additional $14 each week thereafter. Joshua started the year with $70 and saved $8 every week. Let AA represent the amount of money Alexa has saved tt weeks after the beginning of the year and let JJ represent the amount of money Joshua has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t, t, and determine the amount of money Alexa and Joshua have saved in the week that they have the same amount of money saved.

Amount of money Alexa and Joshua have saved in the week that they have the same amount of money saved is equal to $110.

Step-by-step explanation:

Initial amount as savings in account of Alexa = $40

Amount saved per week by Alexa = $14

Initial amount as savings in account of Joshua = $70

Amount saved per week by Joshua = $8

Amount saved by Alexa weeks after the beginning of the year (A) =

Amount saved by Joshua weeks after the beginning of the year (J) =

Now solve .

t = 5 years

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:

ian gonna lie that is way to much