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. A graph shows weight of set (pounds) labeled 0. 5 to 5 on the horizontal axis and number of blocks on the vertical axis. A line increases from 0 to 5. 5. About how many blocks are there per pound? Round to the nearest block. 10 20 30 40.

Respuesta :

Slope is also known as the gradient of a line. The number of blocks that Teddy is weighing is 20 blocks per pound.

What is the Slope of a line?

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line. It also tells us the rate between the two given quantities.

As the graph is given to us and we need to find the number of blocks teddy is putting per pound, therefore, we need to calculate the rate of the graph also known as the slope of the graph, therefore, using any of the two points to calculate the slope of the graph,

[tex]{\rm Point1} : (x_1, y_1) = (0, 0)\\\\{\rm Point2} : (x_2, y_2) = (5, 100)[/tex]

We know that the slope of the line is given as,

[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values,

[tex]\text{Slope of the line} = \dfrac{100-0}{5-0} = \dfrac{100}{5}=20[/tex]

Hence, the number of blocks that Teddy is weighing is 20 blocks per pound.

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