Answer: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the constant of proportionality.
In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.
With this information you can write the following equation:
According to the exercise, the constant of proportionality is:
Therefore, substituting the value of the constant of proportionality into the equation, you get that the equation that represents the proportional relationship between "d" and "t" is:
Answer:
y=1/8x+6
Step-by-step explanation:
y-y1=m(x-x1)
y-9=1/8(x-24)
y=1/8x-24/8+9
y=1/8x-3+9
y=1/8x+6
Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
First take 400 and divide it by 2.5 to find the hourly rate. Then divide 600 by the hourly rate (160) to get 3.75 hours. My work is listed below.
Answer:
Experiment
Step-by-step explanation:
An observational study is a study where researchers simply collect data based on what is seen and heard and make inferences based on the data collected.
Whereas, Experimental studies are the ones where researchers introduce an intervention and study the effects.
Giovanna did not just collect data alone and make inferences based on the collected data, as is done during an observational study, but she studied the effects of the data that she collected by calculating the average driving duration for each route.
Hence we see that she conducted an Experimental study.
