During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population would be approximately C(x) =1.85x/100 − x million dollars. (i) What would it cost to providing immunization to the first 20% of the susceptible population? (ii) What would it cost to providing immunization to the next 30% of the susceptible population? (iii) Suppose 17 million dollars are available for providing immunization. What percentage of the susceptible population will not receive immunization? (iv) If money was not a problem will they be able to providing immunization to the entire susceptible population?
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.
During a nationwide program to immunize the population against a new strain of the flu,
public health officials determined that the cost of inoculating x% of the susceptible population
would be approximately C(x) =1.85x/100 − x million dollars.
(i) What would it cost to providing immunization to the first 20% of the susceptible
population?
(ii) What would it cost to providing immunization to the next 30% of the susceptible
population?
(iii) Suppose 17 million dollars are available for providing immunization. What percentage
of the susceptible population will not receive immunization?
(iv) If money was not a problem will they be able to providing immunization to the entire
susceptible population?
(c) Determine the values of x for which the function f(x) =
{2x2 − 4 x<2
x+2 2<x>5
7 x>_5
is discontinuous
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