Answer:
Differential equation
Solution
Value of constant k=0.327 days^(-1)
The rumor reaches 80% at 8.48 days.
Step-by-step explanation:
We know
y(t): proportion of people that heard the rumor
y'(t)=ky(1-y), rate of spread of the rumor
Differential equation
Solving the differential equation
Initial conditions:
Value of constant k=0.327 days^(-1)
At what time the rumor reaches 80%?
The rumor reaches 80% at 8.48 days.
Answer:
x=5
y=4
Step-by-step explanation:
Step 1:
Let us solve for <em>x</em> using the equation by <u>isolating terms containing the variable</u>:
Great! <em>x</em> is 5... let's find <em>y</em>.
Step 2:
Since we know the value of <em>x</em>, we can use what we know to find <em>y</em> using the <u>other equation</u>:
<em>Given that x=5, we can </em><u><em>replace</em></u><em> x with 5</em>.
<em>I hope this helps! Let me know if you have any questions :)</em>