Joey father stops at the gas station to buy gas the car has a 16 gallon tank and the. Fuel gauge says there is 3/8 of a tank of
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Answer:
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).
Using the gradient formula above,
Substitute the value of m into the equation:
y= ½x +c
To find the value of c, substitute a pair of coordinates.
When x=4, y= -6,
-6= ½(4) +c
-6= 2 +c
c= -6 -2 <em>(</em><em>-2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
c= -8 <em>(</em><em>simplify</em><em>)</em>
Thus, the equation of the line is y= ½x -8.
Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Caffeine metabolize at a rate of 13% per hour, hence
.
Then:
Item a:
The coffee cup contains 150 milligrams of caffeine, hence .
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).
Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:
The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936