Question

teddy is preparing to sell some wooden blocks at a garage sale. before pricing individual bags of blocks, he decides to determine the approximate number of blocks per pound by researching the weights of different sets of blocks. the graph shows his data. about how many blocks are there per pound? round to the nearest block. 10 20 30 40

Explanation:

Step1: Find two points on the line

Take two points \((x_1,y_1)=(1,20)\) and \((x_2,y_2)=(5,100)\) from the line (since the line passes through these approximate whole - number points).

Step2: Calculate the slope (blocks per pound)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1 = 1,y_1 = 20,x_2 = 5,y_2 = 100\) into the formula: \(m=\frac{100 - 20}{5 - 1}=\frac{80}{4}=20\).

Answer:

20