Question

URGENT !!!! Question 39 of 40

Rosa recorded the height (in centimeters) of a pea plant over a 10-day period
for a science experiment. Which equation is the best model of the data?
Centimeters
1654
1 2 3 4 5 6 7 8 9 10
Days
O Ay=0.5x+1.8
OB. y=2.2 (1.1)
OC. y=2.0 (1.4)
OD. y=0.7x+2.1
x y
1
2
2
3
3 3
1
4
4
5
4.5
6 5
7 5
8
6
9
6.5
10 6.5

Answer 1

D. y = 0.7x + 2.1

Explanation:

To determine the best model for the pea plant's height over a 10-day period, let's examine the given data points:

Days (x): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Height (y): 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6

Now, let's evaluate the provided equation options:

A. Ay = 0.5x + 1.8

If we substitute the values of x from the data points into the equation:

For x = 1, y = 0.5(1) + 1.8 = 2.3 (not matching the data)

For x = 2, y = 0.5(2) + 1.8 = 2.8 (not matching the data)

This equation does not accurately model the given data.

B. y = 2.2(1.1)

Substituting the x values:

For x = 1, y = 2.2(1.1) = 2.42 (not matching the data)

This equation does not accurately model the given data.

C. y = 2.0(1.4)

Substituting the x values:

For x = 1, y = 2.0(1.4) = 2.8 (matching one data point)

For x = 2, y = 2.0(1.4) = 2.8 (matching one data point)

This equation does not accurately model the given data.

D. y = 0.7x + 2.1

Substituting the x values:

For x = 1, y = 0.7(1) + 2.1 = 2.8 (matching one data point)

For x = 2, y = 0.7(2) + 2.1 = 3.5 (matching one data point)

For x = 3, y = 0.7(3) + 2.1 = 4.2 (matching one data point)

For x = 4, y = 0.7(4) + 2.1 = 4.9 (matching one data point)

For x = 5, y = 0.7(5) + 2.1 = 5.6 (matching one data point)

For x = 6, y = 0.7(6) + 2.1 = 6.3 (matching one data point)

For x = 7, y = 0.7(7) + 2.1 = 7 (not matching the data)

This equation does not accurately model the given data.

Based on the given data, the equation that best models the data is:

D. y = 0.7x + 2.1