Mrs. swanson gives out only one type of candy for halloween. the local
discount store sells six pounds of butterscotch candies for $7.50. use
proportional reasoning to answer the questions below. be sure to explain your
answer and organize your reasoning.
a.
what is the cost of 18 pounds of butterscotch candies?
b.
what is the cost of 10 pounds of butterscotch candies?
c.
what is the unit rate for butterscotch candies?

Cost of  18 pounds candy  = $22.5

Cost of 10 pounds candy = $12.5

Cost of 1 pound of candies  = $1.25

Step-by-step explanation:

6 pounds of butterscotch candies cost  $7.50

⇔ 1 pound of same candy costs   $1.25

Now, we need to find the cost of 18 pounds of candy:

as, the cost of 6 pounds candy = $7.50

⇔   Cost of 6 x 3 =  18 pounds candy =  $7.50 x  3 = $22.5

Cost of 10 pounds candy =  10 x (Cost of 1 pound candy)

= 10 x ($1.25)  = $12.5

The unit rate for butterscotch candies   = Cost of 1 pound of candies

= $1.25

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

a - base

b - exponent

so,