Given:
The value of home in 2011 is $95,000.
The value of home in 2018 is $105,000.
To find:
The exponential model for the value of the home.
Solution:
The general exponential model is
...(i)
where, a is initial value and b is growth factor.
Let 2011 is initial year and x be the number of years after 2011.
So, initial value of home is 95,000, i.e., a=95,000.
Put a=95000 in (i).
...(ii)
The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.


Taking 7th root on both sides, we get

Put
in (ii).


Therefore, the required exponential model for the value of home is
, where x is the number of years after 2011.
<h3>You should pick:</h3>
The relationship is linear because each y-value is 5 more than the one before it.
<h3>Here's why I think so:</h3>
If we look at the relationship between the x values and the y values, we can tell that they both increase periodically. The x values increase by 1('s), while the y values increase by 5('s).
Think about it. If y starts off at 5 when x is at 0, and then goes to 10 by x becomes 1, and increases another 5 values when x increases by 1 (again), then we are witnessing a pattern. For every 1 x value, y increases by another 5 values. Such a repetitive relationship will clearly be shown with a line. Thus, the relationship is a linear one.
Since we know that the relationship of the table is linear, and that it is linear due to the fact that the y-value continuously increase by 5's without fail, the only answer that would make sense is the second one.
<em>Therefore, the answer is '</em><u><em>The relationship is </em></u><u><em>linear </em></u><u><em>because each y-value is 5 more than the one before it.</em></u><em>'</em>
Answer:
5749.3 cubic feet
Step-by-step explanation:
The volume of the storage container would be defined by the volume of the shape; a hemisphere
The volume V of a hemisphere is given as
V = 2/3 π r^3
where r is the radius of the hemisphere
Given that the diameter is 28 feet, the radius = 14 feet
hence the volume
= 2/3 * π * 14^3
= 5749.333333
To the nearest tenth
= 5749.3 cubic feet
Answer:
unit price = $1.1
Explanation:
We are given that 11 lb cost $12.35. To know how much does 1 lb cost (unit price), all you have to do is cross multiplication as follows:
11 lb .......................> 12.35
1 lb .........................> ??
unit price = (1*12.35) / 11 = $1.122 which is approximately $1.1 (to the nearest cent)
Hope this helps :)
Answer:
10 because you would have to add them all up!
Step-by-step explanation:
hope this helps:)