Answer:
The answer is approximately 5.09 seconds.
Step-by-step explanation:
The given equation is:
f(x) = -5x^2 + 250
To find the elapsed time, x, set the equation equal to 120 and solve for x:
-5x^2 + 250 = 120
-5x^2 = -130
x^2 = -130/-5 = 26
x = Sqrt(26) = 5.09 seconds.
Answer:
Thus our artist now has to draw 24 Portraits a day (hence 6 more portraits per day) if he wants to lower the price from $16 to $12 per portrait and still make the same profit of $1440.
Step-by-step explanation:
Lets analyse the information given in the question for our caricature arist.
- 18 Portraits per Day Drawn
- $16 Per Portait Charged
- 5 days work in a week
This can tells us the Profit the arist makes in 5 days of work selling 18 portraits for $16 per portrait by multiplying all three values together as:
Eqn(1)
<em>Now the question tells us that the artist lowered the price from $16 to $12 dollars and he needs to know the number of portraits he must make now to still make the same profit of $1440 as in Eqn(1). In the first part our uknown was the Profit. In this part our known is the Portraits number (lets call it
) so Eqn(1) can now be expressed as follow, to obtain
that will still gives as $1440 Profit:</em>

Thus our artist now has to draw 24 Portraits a day (hence 6 more portraits per day) if he wants to lower the price from $16 to $12 per portrait and still make the same profit of $1440.