the data in the table represent the height of an object over time.\nheight of an object\n| time (seconds) |…

the data in the table represent the height of an object over time.\nheight of an object\n| time (seconds) | height (feet) |\n| ---- | ---- |\n| 0 | 5 |\n| 1 | 50 |\n| 2 | 70 |\n| 3 | 48 |\n| 4 | 4 |\nwhich model best represents the data?\n- quadratic, because the height of the object increases or decreases with a multiplicative rate of change\n- quadratic, because the height increases and then decreases\n- exponential, because the height of the object increases or decreases with a multiplicative rate of change\n- exponential, because the height increases and then decreases

the data in the table represent the height of an object over time.\nheight of an object\n| time (seconds) | height (feet) |\n| ---- | ---- |\n| 0 | 5 |\n| 1 | 50 |\n| 2 | 70 |\n| 3 | 48 |\n| 4 | 4 |\nwhich model best represents the data?\n- quadratic, because the height of the object increases or decreases with a multiplicative rate of change\n- quadratic, because the height increases and then decreases\n- exponential, because the height of the object increases or decreases with a multiplicative rate of change\n- exponential, because the height increases and then decreases

Answer

Explanation:

Step1: Analyze exponential function property

Exponential functions have a constant multiplicative rate of change and either grow or decay continuously, not increase then decrease.

Step2: Analyze quadratic function property

Quadratic functions can have a maximum or minimum point, so the function - value can increase and then decrease. Looking at the data, the height first increases from 5 feet at (t = 0) to 70 feet at (t=2) and then decreases to 48 feet at (t = 3) and 4 feet at (t = 4). This behavior is characteristic of a quadratic function.

Answer:

quadratic, because the height increases and then decreases