Rocky mcfist spends a total of $90 per week for karate lessons and ballet lessons. if the amount spent on karate lessons increases $10 per week, it will be two thirds of the amount spent on ballet lessons. how much does rocky spend on ballet lessons?

Let x be the amount of money spent on karate lessons and y be the amount of money spent on ballet lessons (both per week).

1. Rocky Mcfist spends a total of $90 per week for karate lessons and ballet lessons. Then

2. If the amount of money spent on karate lessons increases $10 per week, then it becomes x+10. It will be two thirds of the amount spent on ballet lessons, then

3. Solve the system of equations:

From the second equation

Substitute this expression into the first equation

Then

Rocky spend on ballet lessons $60 per week.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !