<span>The <u>correct answer</u> is:
This is the average number of days the house stayed on the market before being sold for $150,000.
Explanation<span>:
f(p) is defined as the average number of days a house stays on the market before being sold for price p (given in $1000).
We want f(150); this means p=150. Since p is in thousands of dollars, this means the price of the house was $150,000.
This means f(150) is the average number of days the house stayed on the market before being sold for $150,000.</span></span>
The <em><u>correct answer</u></em> is:
She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.
Explanation:
Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.
However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.
Answer:
Reasonable estimation for constant of variation is 0.25 kWh per day.
Step-by-step explanation:
We are given the following information in the question:
- The graph represents the function where electricity usage.
- Electricity usage in kilowatts per hour of a clock radio varies directly with the number of days.
- The x-axis shows the number of days and usage in kilo-watt per hour is showed on the y-axis.
- Some coordinates of the graph are: (0,0), (2,0.5) and (6,1.5)
Formula for constant of variation:
Putting the values from the coordinates (2,0.5) and (6,1.5), we get:
Hence, reasonable estimation for constant of variation is 0.25 kWh per day.
The number of bacteria grown in 32 hours is 15771
<u>Step-by-step explanation:</u>
It is given that,
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.
Therefore, the bacteria has grown from 100 to 7000 in 14 hours.
<u>
To calculate number of bacteria grown in 14 hours :</u>
⇒ 7000 - 100 = 6900
6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.
<u>To calculate number of bacteria grown in 1 hour :</u>
⇒ Total bacteria growth in 14 hours / 14
⇒ 6900 / 14
⇒ 492.85
<u>To calculate number of bacteria grown in 32 hours :</u>
⇒ 492.85 × 32
⇒ 15771.2
⇒ 15771 (rounded to nearest whole number)
∴ The number of bacteria grown in 32 hours is 15771
