Question

mayas mother loves to snack on fresh carrots. there is a proportional relationship between the pounds of carrots, x, that maya buys and the cost of the carrots, y, in dollars. x (pounds of carrots), y (dollars) 4 5 8 10 what is the unit rate in dollars per pound of carrots? $0.80 $1.00 $1.25 $2.00 how much does maya spend if she buys 3 pounds of carrots? $2.75 $3.25 $3.75 $4.50

Explanation:

First Sub - Question: Unit Rate in dollars per pound of carrots

Step 1: Identify two points

We have two points from the table: when \(x = 4\), \(y = 5\); when \(x = 8\), \(y = 10\) (assuming the table has values like \(x = 4,y = 5\); \(x = 8,y = 10\) as the text is a bit unclear but the proportional relationship implies \(y=kx\)).

Step 2: Calculate the unit rate (slope)

The unit rate \(k=\frac{y}{x}\). Using the point \((4,5)\), \(k = \frac{5}{4}=1.25\) dollars per pound.

Step 1: Use the unit rate

We found the unit rate \(k = 1.25\) dollars per pound. The cost \(y\) for \(x\) pounds is given by \(y=kx\).

Step 2: Substitute \(x = 3\)

Substitute \(x = 3\) and \(k = 1.25\) into the equation \(y=kx\). So \(y=1.25\times3 = 3.75\) dollars.

Answer:

\$1.25

Second Sub - Question: Cost for 3 pounds of carrots