Will give brainliest

tanya bought 3 games on her phone that each cost the same amount. tony

bought 4 games on his phone that each cost the same amount, but each was

$.50 less than the games that tanya bought. both tanya and tony paid the

same amount of money. what was the cost of one of tanya’s games?

(a) write an expression that shows tanya’s purchased games.

• hint-let x represent the cost of one of tanya's items.

(b) write an expression that show tony’s purchased games.

• hint-let x represent the cost of one of tanya's items.

(c) write an equation that you can solve to see the cost of each person’s

games. let x represent the cost of one of tanya's games.

• hint- tanya and tony paid the same amount.

(d) solve the equation. show your work.

(e) what was the cost of one of tanya’s games?

A) Tonya bought 3 games at X price, so 3X would be total amount.

B) Tony's cost was 0.50 less than X, so x-0.50, he bought 4 games, so he spent 4(x-0.50).

C) Set those to equal to solve for x:

3x = 4(x-0.50)

D) Solve:

3x = 4(x-0.50)

Distribute:

3x = 4x - 2

Subtract 4x from both sides:

-X = -2

Multiply both sides by -1:

X = 2

E) Since X is the amount Tonya paid per game, Tony paid X - 0.50, so Tony paid 2 - 0.50 = $1.50 per game.

Check:

Tonya:  3x = 3(2) = $6 total

Tony: 4(x-0.50) = 4(2.00 - 0.50) = 4(1.50) = $6 total

Tanya game cost $2 each

a. Total cost for Tanya purchased game = 3x

b. Total cost for Tony purchased game = (x - 0.5)4 = 4x - 2

c. 3x = 4x - 2

d. 3x =  (x - 0.5)4

3x = 4x - 2

3x - 4x = -2

-x = -2

x = 2

both paid $6 to get the games Tony paid $1.5 for each game.

e. Tanya game cost $2 each

Step-by-step explanation:

cost of each of Tanya games = x

Each of Tony's game was $ 0.50 less than Tanya's  games

cost of each of Tony game = x - 0.5

Both of them paid the same amount

number of game bought by Tanya = 3

number of game bought by Tony = 4

Total cost for Tanya = 3x

Total cost for Tony = (x - 0.5)4

since both paid same amount

3x =  (x - 0.5)4

3x = 4x - 2

3x - 4x = -2

-x = -2

x = 2

Tanya game cost $2 each

a. Expression for Tanya purchased game

Total cost for Tanya purchased game = 3x

b. Expression for Tony purchased game

Total cost for Tony purchased game = (x - 0.5)4 = 4x - 2

Equation to see the cost of each person

3x = 4x - 2

solve the equation

3x =  (x - 0.5)4

3x = 4x - 2

3x - 4x = -2

-x = -2

x = 2

both paid $6 to get the games Tony paid $1.5 for each game.

cost of one Tanya game

Tanya game cost $2 each

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: