Question

proportional relationship and slope practice {hw}
possible points 10
erin is making fruit punch for a class party. the table shows the amount of fruit punch mix (tablespoon, tbsp) needed for different amounts of water

erin wants to make a graph using these points. what is the slope of the line?
erin needs 0.75 tablespoons of fruit punch mix for every of water this means the slope is

Explanation:

Step1: Recall the slope formula

The slope \(m\) of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \(x\) be the amount of water (in cups) and \(y\) be the amount of fruit - punch mix (in tbsp).

Step2: Choose two points from the table

Take the points \((2,1.5)\) and \((4,3)\). Then \(x_1 = 2,y_1=1.5,x_2 = 4,y_2 = 3\).

Step3: Calculate the slope

Substitute into the slope formula: \(m=\frac{3 - 1.5}{4 - 2}=\frac{1.5}{2}=0.75\).

Answer:

Erin needs \(0.75\) tablespoons of fruit punch mix for every \(1\) cup of water. This means the slope is \(0.75\).