A proportional relationship between the number of pounds of potatoes(x) and the price in dollars(y) is graphed, and the ordered pair (4, 3) is on the graphed line. What is the price of 1 pound of potatoes?
Answers
Given :
A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (5, 4) is on the graphed line.
To find :
price of 1 pound of potatoes
Solution:
x = number of pounds of potatoes
y = price in dollars
x y
0 0
5 4
10 8
y ∝ x
=> y = kx
=> 4 = 5k
=> k = 0.8
y = 0.8x
x = 1
=> y = 0.8
the price of 1 pound of potatoes = 0.8 $
ordered pair (10, 8) on the graph represent
that price of 10 pound of potatoes is 8 $.
.
hope it helps you ❤️✌️
Answer:
Step-by-step explanation:
Given :
- x and y are in proportion.
where x represents the number of potatoes
and y represents the price in dollars
- (4, 3) is on the graphed line.
We know that
for 0 potatoes, the price will be 0
Therefore, (0, 0) will also satisfy the the equation of line
Now we will plot a line passing though (0,0) and (4,3)
Find the attachment. We have marked the price on the y axis and the quantity on the x axis
To find:
Price of 1 pound of potatoes.
Method:
For this we will check the y axis corresponding to the 1 pound mark.
for x = 1, y = 0.75 (as 8 units represent 1 dollar,
6 units will represent (1/8)*6 = 0.75 dollar)
Therefore, the price of 1 pound potatoes will be 0.75 dollars.
