Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number doubles every month. He starts out with 10 guppies, and the function y equals 10 left parenthesis 2 superscript x baseline right parenthesis models the number of guppies he will have after x months. Which graph represents this function?
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Responses
The first quadrant of a coordinate plane is shown. The x axis is labeled time in months and the y axis is labeled number of guppies. A straight line is graphed. It starts at left parenthesis 0 comma 10 right parenthesis and increases at a constant speed. The line also passes through the point left parenthesis 2 comma 100 right parenthesis.
Image with alt text: The first quadrant of a coordinate plane is shown. The x axis is labeled time in months and the y axis is labeled number of guppies. A straight line is graphed. It starts at left parenthesis 0 comma 10 right parenthesis and increases at a constant speed. The line also passes through the point left parenthesis 2 comma 100 right parenthesis.
The first quadrant of a coordinate plane is shown. The x axis is labeled time in months and the y axis is labeled number of guppies. A curved line is graphed. It starts at left parenthesis 0 comma 10 right parenthesis and increases at an increasing speed. The curve also passes through the point left parenthesis 2 comma 40 right parenthesis.
Image with alt text: The first quadrant of a coordinate plane is shown. The x axis is labeled time in months and the y axis is labeled number of guppies. A curved line is graphed. It starts at left parenthesis 0 comma 10 right parenthesis and increases at an increasing speed. The curve also passes through the point left parenthesis 2 comma 40 right parenthesis.
The first quadrant of a coordinate plane is shown. The x axis is labeled time in months and the y axis is labeled number of guppies. A curved line is graphed. It starts at left parenthesis 0 comma 10 right parenthesis and increases at a decreasing speed. The curve also passes through the point left parenthesis 2 comma 225 right parenthesis.
Image with alt text: The first quadrant of a coordinate plane is shown. The x axis is labeled time in months and the y axis is labeled number of guppies. A curved line is graphed. It starts at left parenthesis 0 comma 10 right parenthesis and increases at a decreasing speed. The curve also passes through the point left parenthesis 2 comma 225 right parenthesis.
The first quadrant of a coordinate plane is shown. The x axis is labeled time in months and the y axis is labeled number of guppies. A curved line is graphed. It starts at left parenthesis 0 comma 10 right parenthesis and increases at an increasing speed. The curve also passes through the point left parenthesis 2 comma 250 right parenthesis.
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