Will mark

the number of levels, n, that michael can progress through playing a computer games varies directly with the amount of time, m, he spends playing the game. michael can progress through 5 levels of the game in 55 minutes. how many levels could he profess through if he played for 143 min.?

show the constant of variation and then show how to use the constant to find the answer.

Michael can profess 1 3 levels for 143 min.

Step-by-step explanation:

As you can see, the equation will be m/n=11. So 55/5 is 11, so 143/11= 13.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph