7. What equation would you want to solve in order to minimize cost?
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.
g: (miles/gallon)
v: (miles/hour or mph)
Relationship function: g(v) = (v*(85-v))/60
Critical points: (0,0) (40,30) (60,25)
Max is at v = 40
L: length of trip in miles
C(v): cost of trip if going at a constant speed v, the cost of gas is p, and the wage to the driver is w.
C(v) = ((L*p)/g(v)) + ((L*w)/v)
If used:
p = $7.50
w = $11.00
L = 120 miles
By graphing we can estimate that at v = 54.14, the minimal cost is at $56.702
Given that,
The function that relates constant speed, and the distance travelled,
The cost of trip if going at a constant speed ,
Where,
the cost of gas,
the wage to the driver, .
the length of trip in miles,
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