Answer:
Equation: y = ⅐x
Rate of change: ⅐
Distance = 10 miles
Step-by-step explanation:
Given
The information in the above table
Solving (a): The equation
To get the equation, we need to first calculate the slope (m)
Take any two corresponding values of x and y
(x1,y1) = (7,1)
(x2,y2) = (21,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(21 - 7)
m = 2/14
m = ⅐
The equation is calculated using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 1 = ⅐(x - 7)
y - 1 = ⅐x - 1
Add 1 to both sides
y = ⅐x
Solving (b) Rate of change:
The calculated slope in (a) above represents the rate of change.
So:
Rate of change = Slope = ⅐
Solving (c): Distance when time is 70 minutes
This implies that x = 70
Substitute 70 for x in y = ⅐x
y = ⅐ * 70
y = 10 miles
Hi i think you forgot to attach the picture
2a + 4 - 7a + a
2a -7a +a +4
-5a + a +4
-4a + 4
-4a + 4 is your answer
hope this helps
Answer:
Option A is correct.
is the equation represent the point slope form gives the plant's height at any time.
Step-by-step explanation:
Point slope intercept form: For any two points 
and 
then,
the general form
for linear equations; where m is the slope given by:
Consider any two points from the table;
let A= (2 , 16) and B =(4, 32)
First calculate the slope of the line AB:
= 8
Therefore, slope of the line m = 8
Then,
the equation of line is:
Substitute the value of m=8 and (2, 16) above we get;
Therefore, the equation in point slope form which gives the plant's height at any time is; , where x is the time(months) and y is the plant height (cm)
<span> f(x)=4x^8+7x^7+1x^6+
</span>∴<span> f(-2)=4(-2)^8+7(-2)^7+1(-2)^6+1
</span>∴ <span>f(-2)=(4x256) + (7x-128) + (1x64) +1
</span>∴ <span>f(-2)=1024 - 896 + 64 +1
</span>∴ <span>f(-2)= 193</span>
