Rate of change of profit for this period is $2750 per month
<em><u>Solution:</u></em>
Given that,
Profit of $6500 in January and $17,500 in May
<em><u>To find: Rate of change</u></em>
Since,
January is the first month of the year (1) while May is the fifth month (5)
<em><u>Therefore, we get two points</u></em>
(1, 6500) and (5, 17500)
Using these points we can find the rate of change in profit for this time period
<em><u>The rate of change using the following formula:</u></em>

Here from the points,

<em><u>Therefore, rate of change is given as:</u></em>

Thus rate of change of profit for this period = $2750 per month
Average speed of Alishia is 19 kilometers per hour
Average speed is calculated by dividing the total distance that something has traveled by the total amount of time it took it to travel that distance. Speed is how fast something is going at a particular moment. Average speed measures the average rate of speed over the extent of a trip
Given :
Distance = 45.3 km
Time taken = 143 minutes = 143/60 =2.384 hours
∴ Average speed = 45.3/2.384 = 19 kilometers per hour
Thus the average speed of Alishia is 19 kilometers per hour.
Learn more about Average speed here :
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a) Acceleration is the derivative of velocity. By the fundamental theorem of calculus,

so that


b) We get the displacement by integrating the velocity function like above. Assume the object starts at the origin, so that its initial position is
. Then its displacement over the time interval [0, 3] is

c) The total distance traveled is the integral of the absolute value of the velocity function:

for
and
for
, so we split the integral into two as



Answer:
I think its 46, hope this helps!!!