From the excel plotting, we see that the least square regression equation is given by:
m=(7.25-2.65)/(2009-1978)
m=0.15
thus the equation will be:
0.15(x-0)=y-2.65
y=0.15x-2.65
b] Using the equation we can approximate the hourly wage in 2025 as follows:
x=(2025-1978)=47
y=0.15(47)-2.65
y=7.05-2.65
y=4.4
The plot is as shown in the figure:
Answer:
The answer is B. not D.
Step-by-step explanation:
The average rate of change of a function, g(x), over an interval [a, b] is given by

Thus, the average rate of change of

over the interval

is given by:
X= cost per pizza
y= cost per soda
1ST VISIT TO RESTAURANT
x + 2y= $15.95
2ND VISIT TO RESTAURANT
3x + 5y= $45.90
STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.
-3(x + 2y)= -3(15.95)
multiply -3 by each term
(-3 * x) + (-3 * 2y)= (-3 * 15.95)
-3x - 6y= -47.85
STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.
3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y
-y= -1.95
divide both sides by -1
y= $1.95 per soda
STEP 3
substitute y value in either original equation to solve for x
x + 2y= $15.95
x + (2 * 1.95)= 15.95
multiple in parentheses
x + 3.90= 15.95
subtract 3.90 from both sides
x= $12.05 per pizza
CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90
ANSWER: Each pizza costs $12.05 and each soda costs $1.95.
Hope this helps! :)