80x – 8000 f(x) = 30 s xs 100. %3D X - 110 flx) = 80.x - 8000 X- 110 80 60 40 At a 100% tax rate, $0 in tax revenue is generated. 20 40 60 80 100 Tax Rate Government Tax Revenue (tens of billions of dollars) 20
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
This function models the government tax revenue, f(x), in tens of billions of dollars, in terms of the tax rate, x. The graph of the function is shown. It illustrates tax revenue decreasing quite dramatically as the tax rate increases. At a tax rate of (gasp) 100%,the government takes all our money and no one has an incentive to work. With no income earned, zero dollars in tax revenue is generated.
a. Find and interpret f(30). Identify the solution as a point on the graph of the function.
b. Rewrite the function by using long division to perform (80x - 8000) ÷ (x - 110). Then use this new form of the function to find f(30). Do you obtain the same answer as you did in part (a)?
c. Is f a polynomial function? Explain your answer.
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