Answer:
The cost per pound for turkey is 0.87.
A 12-pound turkey would cost $10.44.
The turkey weighed 22 pounds.
Explanation:
You know that the cost of a turkey, c, that is w pounds is represented by the equation c=0.87*w
What is the cost per pound for the turkey?
The direct proportionality function is called any function in which the dependent variable (y) is obtained by multiplying the independent (x) by a constant value. This type of function is called a linear function and has an expression of the form:
y=m*x
where m is the constant of proportionality.
Comparing both expressions, it is observed that the constant of proportionality for this case has a value of 0.87, and indicates the cost per pound for the turkey. That is, the cost per pound for turkey is 0.87.
How much would a 12 pound turkey cost?
Being c=0.87*w, then you know that the value of w is 12 pounds. Replacing:
c= 0.87*12
you get:
c=10.44
A 12-pound turkey would cost $10.44.
Karen spent $19.14 on a turkey. How many pounds did it weigh?
Being c=0.87*w, then you know that the value of the cost c is $19.14. Replacing:
19.14= 0.87*w
and solving you get:
w=19.14 ÷0.87
w= 22
The turkey weighed 22 pounds.