Answer:
if f(x) = 3x+4, the rate of change is 4.
if f(x) = 2x+7, the rate of change is 2.
Step-by-step explanation:
We know that the average rate of change over the interval x=0 to x=8 is:
(f(x2) - f(x1))/x2-x1
Where:
x2 = 8
x1 = 0
if f(x) = 3x+4
so f(8)=3(8)+4 = 28
f(0)=3(0)+4 = 4
Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3
On the other hand, if f(x) = 2x+7
f(8) = 2(8)+7 = 23
f(0) = 2(0)+7 = 7
Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2
Answer:
2·x²+4
Step-by-step explanation:
The sum is an answer to an addition problem and 2 times a number means to multiply by 2. That number is squared so you it's to the second power.
For this case we propose a system of equations:
x: Variable that represents the amount of hours that Olivia's mother drove
y: Variable that represents the amount of hours that Olivia's father drove
So, we have:
From the first equation we have:
Substituting in the second equation:
Thus, Olivia's father drove 3 hours.
Olivia's mother drove 11 hours.
Answer:
Step-by-step explanation:
Let x be the money made in sales. Let y be the money made in commissions.
First, convert 2.5% to a decimal.
2.5% = 0.025
Equation:
0.025x = y
Robert:
0.025(8850) = y
y = $221.25
Francisca:
0.025x = 279
x = 279/0.025
x = $11,160
