Step-by-step explanation:
a) Please see the attached screenshot where shows the values for the given table.
Choose two points from the graph:
(x1, y1) = (1, 10)
(x2, y2) = (2, 20)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (20 - 10) / (2 - 1) = 10/1 = 10
Slope = 10
b) y = 10x
where:
y = distance that a snail crawls (in inches)
x = time in minutes that a snail crawls
The slope = 10 is the rate of change; it represents an increase of 10 inches in distance that a snail crawls for every minute that passes.
c) How long does it take the snail to crawl 85 inches?
To determine how long will it take for the snail to crawl 85 inches, substitute its value into the equation to solve for x:
y = 10x
85 = 10x
Divide both sides by 10:
[tex]\frac{85}{10} = \frac{10x}{10}[/tex]
x = 8.5
Therefore, it will take a snail 8.5 minutes to crawl for a distance of 85 inches.
