A snail is crawling straight up the glass side of an aquarium at a constant rate toward the top of the aquarium.The equation y = 0.4x + 3 can be used to represent the situation, where y is the height of the snail in centimeters from the bottom of the aquarium and x is the number of seconds that the snail has been crawling.Which statement best describes the height of the snail from the bottom of the aquarium,
Question
A snail is crawling straight up the glass side of an aquarium at a constant rate toward the top of the aquarium.The equation y = 0.4x + 3 can be used to represent the situation, where y is the height of the snail in centimeters from the bottom of the aquarium and x is the number of seconds that the snail has been crawling.Which statement best describes the height of the snail from the bottom of the aquarium,
Solution
The equation y = 0.4x + 3 represents a linear relationship between the time (x) the snail has been crawling and its height (y) from the bottom of the aquarium.
The slope of the line, 0.4, represents the rate at which the snail is climbing. This means that for every second that passes, the snail climbs 0.4 centimeters.
The y-intercept of the line, 3, represents the height of the snail from the bottom of the aquarium at the start of the observation. This means that when the snail started crawling (when time x = 0), it was already 3 centimeters up from the bottom of the aquarium.
So, the statement that best describes the height of the snail from the bottom of the aquarium is: "The snail started 3 centimeters up from the bottom of the aquarium and climbs at a constant rate of 0.4 centimeters per second."
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