Question

010305 A film crew spent seven days shooting a TV commercial. The graph below depicts their daily expenses: $10,000 59,000 (Daily expenses - $/day) 53.000 $2.000 $1,000 0 1 2 3 (Day) What were their total expenses for day 4 of filming through day 6? Use geometric formulas to calculate your answer. Express your answer in integer amounts (no cents): do not include a currency sign or commas. Hint: Day 4 starts immediately after Day 3 ends.

Answer 1

We can find the equation of the curve:

Let daily expenses=y

And day=x

At x=0 ,y=2000

Then it increases by 1000 at each additional day

Y=2000+1000x

To find the total expenses from day 4 to day 6,

We can use integration,.

Integration of the function

2000x+500*x^2=f(x)

The total expenses from day 4 to day 6 =f(6)-f(3)

f(6)=2000*6+500*6*6=12,000+18000=30,000

f(6)=2000*3+500*3*3=6000+4500=10,500

Total expenses from day 4 to day 6=30,000-10,500=19,500

Or you can calculate by calculating the squares under line from 3 to 6, each square is equal to 1000.

Squares=18 and 3 half= 19.5

Total expanses=19.5*1000=19,500