Answer:
(1)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
We are looking for an equation of the form
y = 4x ± c ( since slope m = 4)
The only equation which fits the description is
y = 4x - 3 → (1)
Answer:
The Jar of peanut butter
Step-by-step explanation:
The easiest way to do this is to calculate price per ounce of each unit.
We'll assign the 12 ounce jar to the variable s and the bulk to the variable b.
First create an equation to find the values of each product per ounce.
Since the 12 ounce jar(s) sells for 3.96 we can say it is 3.96 for every 12 ounces, or s = 3.96/12oz.
Simplify this equation and you get s = 0.33 per ounce.
For b we need to convert pounds to ounces.
There are 16 ounces per pound so the equation we get is:
b = 5.50/16oz
Simplified we get:
b = about 0.34/oz
The smaller jar has a rate of $0.33/oz
The bulk has a rate of $0.34/oz
This means the answer is b. The jar of peanut butter has a cheaper unit rate.
1 feet = 0.3048 m
0.3048 m = 1 feet
1 m = (1/0.3048) feet
1600 m = 1600 * (1/0.3048) ≈ 5249.34
1600 m ≈ 5249.34 feet
Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus, 
. We use this to find k.
Then
What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So
The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
