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<h2>Good evening ,</h2>
<em><u>Answer</u></em>:
q=-10
<em><u>Step-by-step explanation:</u></em>
D:y=-3x+q
let’s find q
A(-4,2)∈D ⇔ 2=-3(-4)+q ⇔ q=-10
then D:y=-3x-10
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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