If 1 US dollar is equal to .85 euro, define a function f that takes as input a number of US dollars, n, and determines the number of euros, f(n) that has an equivalent value
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.
1. If 1 US dollar is equal to .85 euro, define a function f that takes as input a number of US dollars, n, and determines the number of euros, f(n) that has an equivalent value.
2. If 1 euro is equal to 124.76 Japanese yen, define a function g that takes as input a number of euro ne and determines the number of yen, g(ne) that has an equivalent value.
3. Define a composite function, g(f(n)), that determines the number of Japanese yen Alma will receive when having n US dollars converted to Japanese yen?
4. Brittany had 490 US dollars converted to yen, and received 1888 yen from a friend when arriving in Japan. Use function notation to represent how many total yen Brittany had after receiving the gift from her friend. (Do NOT compute the answer.)
5. Evaluate f(x+h) given that f(x)=6x2−2x−4.
f(x+h)=
6. If the cutout length increases from 0.8 to 2.3 inches, what is the change in the box's volume? (You may use your graphing calculator.)
7. If the cutout length increases from 2.3 to 4 inches, what is the change in the box's volume?
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