Choose the correct graph of the function y equals one-fifth times 3 to the x.
(1 point)
Responses
An exponential function graphed on a coordinate plane with a y intercept at (0, negative one-fifth). It approaches the x axis on the left side of the y-axis and decreases rapidly on the right side of the y-axis. The graph passes through the point (1, 0.6).The line passes through left-parenthesis negative 10 comma zero right-parenthesis left-parenthesis negative 9 comma zero right-parenthesis left-parenthesis negative 8 comma zero right-parenthesis left-parenthesis negative 7 comma zero right-parenthesis left-parenthesis negative 6 comma zero right-parenthesis left-parenthesis negative 5 comma zero right-parenthesis left-parenthesis negative 4 comma zero right-parenthesis left-parenthesis negative 3 comma zero right-parenthesis left-parenthesis negative 2 comma zero right-parenthesis left-parenthesis negative 1 comma zero right-parenthesis left-parenthesis 3 comma negative 5 right-parenthesis.
Image with alt text: An exponential function graphed on a coordinate plane with a y intercept at (0, negative one-fifth). It approaches the x axis on the left side of the y-axis and decreases rapidly on the right side of the y-axis. The graph passes through the point (1, 0.6). The line passes through left-parenthesis negative 10 comma zero right-parenthesis left-parenthesis negative 9 comma zero right-parenthesis left-parenthesis negative 8 comma zero right-parenthesis left-parenthesis negative 7 comma zero right-parenthesis left-parenthesis negative 6 comma zero right-parenthesis left-parenthesis negative 5 comma zero right-parenthesis left-parenthesis negative 4 comma zero right-parenthesis left-parenthesis negative 3 comma zero right-parenthesis left-parenthesis negative 2 comma zero right-parenthesis left-parenthesis negative 1 comma zero right-parenthesis left-parenthesis 3 comma negative 5 right-parenthesis.
An exponential function graphed on a coordinate plane with a y intercept at (0, one-fifth). It approaches the x axis on the left side of the y-axis and increases rapidly on the right side of the y-axis. The graph passes through the point (1, 0.6).The line passes through left-parenthesis negative 10 comma zero right-parenthesis left-parenthesis negative 9 comma zero right-parenthesis left-parenthesis negative 8 comma zero right-parenthesis left-parenthesis negative 7 comma zero right-parenthesis left-parenthesis negative 6 comma zero right-parenthesis left-parenthesis negative 5 comma zero right-parenthesis left-parenthesis negative 4 comma zero right-parenthesis left-parenthesis negative 3 comma zero right-parenthesis left-parenthesis negative 2 comma zero right-parenthesis left-parenthesis negative 1 comma zero right-parenthesis left-parenthesis 3 comma 5 right-parenthesis.
Image with alt text: An exponential function graphed on a coordinate plane with a y intercept at (0, one-fifth). It approaches the x axis on the left side of the y-axis and increases rapidly on the right side of the y-axis. The graph passes through the point (1, 0.6). The line passes through left-parenthesis negative 10 comma zero right-parenthesis left-parenthesis negative 9 comma zero right-parenthesis left-parenthesis negative 8 comma zero right-parenthesis left-parenthesis negative 7 comma zero right-parenthesis left-parenthesis negative 6 comma zero right-parenthesis left-parenthesis negative 5 comma zero right-parenthesis left-parenthesis negative 4 comma zero right-parenthesis left-parenthesis negative 3 comma zero right-parenthesis left-parenthesis negative 2 comma zero right-parenthesis left-parenthesis negative 1 comma zero right-parenthesis left-parenthesis 3 comma 5 right-parenthesis.
An exponential function graphed on a coordinate plane with a y intercept at (0, one-fifth). It approaches the x axis on the right side of the y-axis and increases rapidly on the left side of the y-axis. The graph passes through the point (negative 1, 0.6).The line passes through left-parenthesis negative 3 comma 5 right-parenthesis left-parenthesis left-parenthesis 1 comma zero right-parenthesis left-parenthesis 2 comma zero right-parenthesis left-parenthesis 3 comma zero right-parenthesis left-parenthesis 4 comma zero right-parenthesis left-parenthesis 5 comma zero right-parenthesis left-parenthesis 6 comma zero right-parenthesis left-parenthesis 7 comma zero right-parenthesis left-parenthesis 8 comma zero right-parenthesis left-parenthesis 9 comma zero right-parenthesis left-parenthesis 10 comma zero left-parenthesis.
Image with alt text: An exponential function graphed on a coordinate plane with a y intercept at (0, one-fifth). It approaches the x axis on the right side of the y-axis and increases rapidly on the left side of the y-axis. The graph passes through the point (negative 1, 0.6). The line passes through left-parenthesis negative 3 comma 5 right-parenthesis left-parenthesis left-parenthesis 1 comma zero right-parenthesis left-parenthesis 2 comma zero right-parenthesis left-parenthesis 3 comma zero right-parenthesis left-parenthesis 4 comma zero right-parenthesis left-parenthesis 5 comma zero right-parenthesis left-parenthesis 6 comma zero right-parenthesis left-parenthesis 7 comma zero right-parenthesis left-parenthesis 8 comma zero right-parenthesis left-parenthesis 9 comma zero right-parenthesis left-parenthesis 10 comma zero left-parenthesis.
An exponential function graphed on a coordinate plane with a y intercept at (0, negative one-fifth). It approaches the x axis on the right side of the y-axis and decreases rapidly on the left side of the y-axis. The graph passes through the point (negative 1, negative 0.6).The line passes through left-parenthesis negative 3 comma negative 5 right-parenthesis left-parenthesis 1 comma zero right-parenthesis left-parenthesis 2 comma zero right-parenthesis left-parenthesis 3 comma zero right-parenthesis left-parenthesis 4 comma zero right-parenthesis left-parenthesis 5 comma zero right-parenthesis left-parenthesis 6 comma zero right-parenthesis left-parenthesis 7 comma zero right-parenthesis left-parenthesis 8 comma zero right-parenthesis left-parenthesis 9 comma zero right-parenthesis left-parenthesis 10 comma zero right-parenthesis.
Image with alt text: An exponential function graphed on a coordinate plane with a y intercept at (0, negative one-fifth). It approaches the x axis on the right side of the y-axis and decreases rapidly on the left side of the y-axis. The graph passes through the point (negative 1, negative 0.6). The line passes through left-parenthesis negative 3 comma negative 5 right-parenthesis left-parenthesis 1 comma zero right-parenthesis left-parenthesis 2 comma zero right-parenthesis left-parenthesis 3 comma zero right-parenthesis left-parenthesis 4 comma zero right-parenthesis left-parenthesis 5 comma zero right-parenthesis left-parenthesis 6 comma zero right-parenthesis left-parenthesis 7 comma zero right-parenthesis left-parenthesis 8 comma zero right-parenthesis left-parenthesis 9 comma zero right-parenthesis left-parenthesis 10 comma zero right-parenthesis.
Skip to navigation
The correct graph of the function is an exponential function graphed on a coordinate plane with a y intercept at (0, one-fifth). It approaches the x axis on the right side of the y-axis and increases rapidly on the left side of the y-axis. The graph passes through the point (negative 1, 0.6). The line passes through left-parenthesis negative 3 comma 5 right-parenthesis left-parenthesis 1 comma zero right-parenthesis left-parenthesis 2 comma zero right-parenthesis left-parenthesis 3 comma zero right-parenthesis left-parenthesis 4 comma zero right-parenthesis left-parenthesis 5 comma zero right-parenthesis left-parenthesis 6 comma zero right-parenthesis left-parenthesis 7 comma zero right-parenthesis left-parenthesis 8 comma zero right-parenthesis left-parenthesis 9 comma zero right-parenthesis left-parenthesis 10 comma zero right-parenthesis.
Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much algae will be in the pond after 12 hours?
(1 point)
Responses
720 pounds
720 pounds
360 pounds
360 pounds
1,440 pounds
1,440 pounds
114 pounds
114 pounds