The descriptions below outline different options for saving money. Use x
to represent the number of months and y
to represent the total amount saved.
For each equation and graph, drag the situation that can be modeled by that relationship into the space in that row.
CLEAR CHECK
Relationship
Equation
Graph
Situation
Linear
y=x+3
Graph with X-axis and Y-axis labeled at negative 5 and 5. A straight line is graphed, starting at left below the X-axis, continuing up to the right and ending to the right of the Y-axis near the top of the graph. Its X-intercept is near negative 3 and its Y-intercept is near 3.
Quadratic
y=3x2
Graph with X-axis labeled at negative 5 and 5 and Y-axis labeled at negative 2 and 10. A parabola opening upward is graphed, with vertex where the X-axis and Y-axis intercept.
Exponential
y=3x
Graph with X-axis labeled at negative 5 and 5 and Y-axis labeled at negative 2 and 10. A curved line opening up and to the left is graphed, starting near the X-axis at left and continuing up and to the right to end to the right of the Y-axis at the top. It is steeper as it goes farther right.
Linear
y=x+3
Graph with X-axis and Y-axis labeled at negative 5 and 5. A straight line is graphed, starting at left below the X-axis, continuing up to the right and ending to the right of the Y-axis near the top of the graph. Its X-intercept is near negative 3 and its Y-intercept is near 3.
Situation: Saving a fixed amount of money each month, starting with an initial deposit of $3.
Quadratic
y=3x^2
Graph with X-axis labeled at negative 5 and 5 and Y-axis labeled at negative 2 and 10. A parabola opening upward is graphed, with vertex where the X-axis and Y-axis intercept.
Situation: Saving money where the amount saved each month increases exponentially with time.
Exponential
y=3^x
Graph with X-axis labeled at negative 5 and 5 and Y-axis labeled at negative 2 and 10. A curved line opening up and to the left is graphed, starting near the X-axis at left and continuing up and to the right to end to the right of the Y-axis at the top. It is steeper as it goes farther right.
Situation: Saving money where the total amount saved grows exponentially with time, with a constant rate of growth.