Question

How long does it take the snail to crawl 86 inches enter answer in decimal number

Answer 1

To get the equation of the line graph, first, we have to find its slope. The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

From the picture, the line passes through the points (0,0) and (10, 1), then its slope is:

`m=(1-0)/(10-0)=(1)/(10)_{}`

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

From the graph, the line intersects the y-axis at y = 0, this means that b = into

the equation. Therefore, the equation is:

y = 1/10x

where x is distance (in inches) and y is time (in minutes).

To find how long it takes the snail to crawl 86 inches, we have to replace x = 86 into te equation as follows:

`\begin{gathered} y=(1)/(10)\cdot86 \\ y=8.6 \end{gathered}`

The snail takes 8.6 minutes to crawl 86 inches