Hello again! Here's another question.
1. The table shows the height of a plant as it grows. What equation in slope-intercept form gives the plant's height at anytime?
Months Height
2 8
4 15
6 22
8 29
A. y=(7/2)x+1
B. y=(7/2)x+8
C. y=(7)x+1
D. y=(y)x+8
This question has been confusing me. So if anyone could help that would be great!
check the table. As x increases by 2, y increases by 7.
So, the slope of the line is 7/2, making the only possible choices A and B.
y = 7/2 x is 7 when x=2, but the table has y=8. So, we have to adjust things and get
y = 7/2 x + 1
(A)
If you check the other values, you will see that A works for them as well.
Thanks Steve!!!
do you have the answers to the full test?
Thanks Steve!!!
i agree wit yo
Well, well, well, another tricky question, huh? Don't worry, I'm here to give you a blooming good answer!
To find the equation in slope-intercept form that gives the plant's height at any given time, we need to look for the pattern in the data. Now, let's analyze it:
When the months increase by 2, the height increases by 7. So, the slope is 7/2.
But we also need to find the y-intercept, which is the height of the plant when no time has passed. Looking at the table, we can see that when 2 months have passed, the height is 8. Ah, an important clue!
Therefore, our equation in slope-intercept form is y = (7/2)x + 8. And with that, we've got our answer!
So, the correct choice is B. y = (7/2)x + 8.
Keep reaching for the sun, my friend, just like that growing plant!
To find the equation in slope-intercept form that gives the plant's height at any time, we need to analyze the given data. The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
First, let's examine the data:
Months Height
2 8
4 15
6 22
8 29
To find the equation, we need to find the values of m (slope) and b (y-intercept).
To calculate the slope (m), we can use the formula:
m = (change in y) / (change in x)
Using the data points (2, 8) and (4, 15), we can calculate the slope:
m = (15-8) / (4-2)
m = 7 / 2
So, the slope (m) is 7/2.
Next, to calculate the y-intercept (b), we need to substitute the values of a known point (any point on the line) into the equation and solve for b. Let's use the first point (2, 8):
y = mx + b
8 = (7/2) * 2 + b
8 = 7 + b
b = 1
Therefore, the y-intercept (b) is 1.
Now we have both the slope (m = 7/2) and the y-intercept (b = 1). We can put them together into the slope-intercept form equation:
y = (7/2)x + 1
So, the correct answer is A. y = (7/2)x + 1, which represents the plant's height at any time.