The statements that are true include the following:
B) Bush B has an initial value less than the initial value of Bush A.
C) After 7 years, Bush B was 1 inch taller than Bush A.
In Mathematics and Geometry, the slope-intercept form of the equation of a straight line refers to the general equation of a linear function and it is represented by this mathematical equation;
y = mx + b
Where:
- m represents the slope or rate of change.
- x and y are the points.
- b represents the y-intercept or initial value.
Based on the graph the constant growth rate of Bush A is 2 and its y-intercept is 10, so an equation that models it is given by;
y = 2x + 10
For Bush B, we have:
y = 2.5x + 7.5
When x is 7, the heights (y) of the bushes are given by;
y = 2(7) + 10
y = 24 inches for bush A.
y = 2.5(7) + 7.5
y = 25 inches for bush B.
Difference = 25 - 24
Difference = 1 inch.
Complete Question:
Cecelia planted two bushes at the same time and measured their heights over several years. She represented each bush's growth as shown. Which of the following statements are true?
A) Bush A has a greater rate of change than Bush B.
B) Bush B has an initial value less than the initial value of Bush A.
C) After 7 years, Bush B was 1 inch taller than Bush A.
D) Bush B grows at a slower rate than Bush A.
E) Bush A and Bush B were the same height when planted.