Answer:
Step-by-step explanation:
Let
x----> the temperature in degrees Fahrenheit
y ---->insect chirping rate in times per minute
we have the ordered pairs
(82,61) and (91,124)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line
we know that
The equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
---> the units are chirps per minute/degree F
take the point (82,61)
substitute and solve for b
substitute
Step-by-step explanation:
since both objects and sides are similar, you can set each side equal, then you cross multiply, and do subtraction, then find x.
Answer:
15 kilometres
Step-by-step explanation:
Based on the wording of your question, I am assuming you already know that Paul ran 250 metres every 1 minute, and that the ratio is 250:1. To get the second part of the answer, convert metres to kilometres. 0.001*250= 0.25. Paul ran 0.25 kilometres per minute. The ratio of kilometres per minute is 0.25:1. Next, convert minutes to hours. Multiply the entire ratio by 60, as there are 60 minutes in an hour. The ratio of kilometeres per minute is 15:60, and the ratio of kilometres per hour is 15:1, meaning Paul ran 15 kilometres in one hour.
