Amount A ($) t (years) 40,000 5 69,000 10 89,000 15 103,000 20 120,000 30 (Source: Comprehensive Mortgage Tables [Publication No. 492], Financial Publishing Co.)
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.
Mortgage A couple can afford $800 per month to
purchase a home. As indicated in the table, if they
can get an interest rate of 7.5%, the number of years t
that it will take to pay off the mortgage is a function
of the dollar amount A of the mortgage for the home
they purchase.
a. If the couple wishes to finance $103,000, for how
long must they make payments? Write this correspondence in function form if t = f (A).
b. What is f (120,000)? Write a sentence that explains
its meaning.
c. What is f (3 * 40,000)?
d. What value of A makes f (A) = 5 true?
e. Does f (3 * 40,000) = 3 * f (40,000)? Explain
your reasoning
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