Suppose y varies at a constant rate of change of 0.5 with respect to x (so that Δ y = 0.5 ⋅ Δ x ), and y = 1.5 when x = 3 .

Answer and explanation:

Given the above, we find y in terms x

change in y change in x = 0.5

The formula for a straight line is y= mx+b where m is slope of the line and b is the y intercept

We substitute given values above in the straight line equation:

y=mx+b

1.5= 0.5×3+b

1.5=1.5+b

b= 0

y in terms of x for the line is therefore given by the formula :

y=0.5x+0

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.