Area of solid shapes
1 answer:
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Answer:(c)
Step-by-step explanation:
Given
The initial value of Adam's model is
the value increases exponentially with the rate of
Time period
Final amount
Exponential growth is given by
Putting values
Option (c) is correct
Answer:
a) Table and graph showed
b) The distance will be 231 miles
c) Yes
Step-by-step explanation:
We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as
D(g)=22g, being g the number of gallons of gas used
a) The graph of the function D and its corresponding table of values is shown below.
b) If the van used g=10.5 gallons of gas, the distance would be:
D(10.5)=22 x 10.5 = 231 miles
c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.
The numbers of new CDs is 30 and the old CDs is 21.
To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.
<h3>System of Equations</h3>This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;
- Let n represents numbers of new CDs
- Let u represents numbers of old CDs
The equations can be represented as
Let's take equation (i)
Making n the subject of formula
we can put equation (iii) into equation (ii)
Let's put the value of u into equation (i)
From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.
Learn more on system of equations here;