we are given

we can use average rate of change formula from t=a to t=b

Here, we are given from t=1 to t=4
so, we will get formula as

now, we can plug values

now, we can simplify it

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4 is 10 acres/ month.............Answer
the function is decreasing and the y intercept is (0,1)
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let
be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be
. From this information we can gather that the cost function for this factory is,

On the other hand, if we let
be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

The company has to sell 134 750 units to break even.
10.5x = 7.5x + 30
10.5x - 7.5x = 30
3x = 30
x = 30/3
x = 10
10.5(10) = 105
7.5(10) + 30 = 75 + 30 = 105
they need to purchase 10 t-shirts from each company for a total of $105 for each company
20 kilograms is 200 hectograms
The limit is 200 hectograms and his suitcase is 220 hectograms.
Subtract 220-200 and his suitcase is over by 20 hectograms.
He will have to remove 20 hectograms