Answer :
The equation to model the data is Linear: y=18x+85. Therefore, the correct answer is option C.
To determine which type of function best models the data, let's first analyze the pattern in the data:
Year Height
0 85
1 103
2 121
3 139
4 157
Looking at the data, we can see that the height of the plant is increasing linearly over time. Each year, the height increases by 18 units. Therefore, a linear function best models the data.
The equation for a linear function is of the form y=mx+b, where m is the slope (rate of change) and b is the y-intercept.
In this case, m=18 (the rate of change, as the height increases by 18 units each year), and b=85 (the initial height when x=0).
So, the equation to model the data is:
Linear: y=18x+85
Therefore, the correct answer is option C.
Question
The table shows the height of a plant over time. Which type of function best models the data? Write an equation to model the data.
Year - Height
0 85
1 103
2 121
3 139
4 157
A. Quadratic: y=18x^2+85
B. Quadratic: y=85x^2+18
C. Linear: y=18x+85
D. Exponential: y=85×18^x
