Based on the table, the equation of the line of best fit to the nearest thousandths is equal to y = 1.671x + 4.699.
<h3>How to determine the equation of the line of best fit?</h3>Mathematically, the equation of the line of best fit is calculated by using this formula:
y = mx + c
<u>Where:</u>
Based on the table, the slope and intercept to the nearest thousandths are equal to 1.671 and 4.699 respectively.
Therefore, the equation of the line of best fit is equal to y = 1.671x + 4.699.
Read more on line of best fit here: brainly.com/question/4674926
#SPJ4
Answer:
∴35.97 mg caffeine would be left in the system after 5 hours.
Step-by-step explanation:
Given that,
A cup of coffee has approximately 310 mg of caffeine.
Caffeine decrease at a rate 35% per hour.
Exponential Function:
y(t)= Amount caffeine after t hours
= Initial amount of caffeine
r= rate of decrease
t = Time in hour.
Here y(t)=?, = 310 mg, r=35%=0.35, t= 5 hours
=35.97 mg
∴35.97 mg caffeine would be left in the system after 5 hours.
Answer:
slope = -
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)
m = =
=
= -