Answer:
Part 1) The unit rate is [tex]\$0.25\ per\ ounce[/tex]
Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00
Step-by-step explanation:
Part 1) What is the unit rate for the pumpkin seeds?
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
Let
y ----> the cost of pumpkin seeds in dollars
x ---> the weight in ounces
we have
For x=24 ounces, y=$6
Find the value of the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
substitute the values
[tex]k=\frac{6}{24}=\$0.25\ per\ ounce[/tex]
The unit rate is the same that the constant of proportionality k
therefore
The unit rate is
[tex]\$0.25\ per\ ounce[/tex]
Part 2) How much would 56. ounce bag of pumpkin seeds cost?
we know that
The linear equation is equal to
[tex]y=0.25x[/tex]
For x=56 ounces
substitute in the linear equation and solve for y
[tex]y=0.25(56)=\$14.00[/tex]
