Question

Malachi took cans to the recycling plant and put them into the can-crusher one at a time. After he had already crushed some of the cans, he started recording the number of cans he crushed per minute. The table shows how many cans Malachi put in the can-crusher at different times.



What is the equation that represents Malachi’s situation?



(y – 65) = (x – )

Answer 1

as u can see its linear , first find slope

Answer 2

\( \text{if u have two points } ({\color{Green} {y_1}},{\color{Magenta} {x_1}}) \text { and } ({\color{Green} {y_1}},{\color{Magenta}{ x_1}})\\ \text{ then the slope } {\color{Red} m} \\ \text{is given by the formula :-}\\
{\color{Red} m=} \frac{{\color{Green} {\Delta y}}}{{\color{Magenta} {\Delta x}}}= \frac{{\color{Green} {y_1-y_0}}}{{\color{Magenta} {x_1-x_0}}} \)

Answer 3

\( \text {so u could pick up to points lets say } ({\color{Green} {3}},{\color{Magenta} {49}}) \text { and } ({\color{Green} {9}},{\color{Magenta}{ 97}})\\ \text{ then the slope } {\color{Red} m} \\ \text{will be :-}\\
{\color{Red} m=} \frac{{\color{Green} {\Delta y}}}{{\color{Magenta} {\Delta x}}}= \frac{{\color{Green} {y_1-y_0}}}{{\color{Magenta} {x_1-x_0}}} = \frac{{\color{Green} {97-49}}}{{\color{Magenta} {9-3}}}\)

Answer 4

so the slope is 8 ?

Answer 5

is the answer (y – 65) = 8 (x – 13 ) ?