Suppose that d(r) is a function which gives the population density, in hundreds of people per square mile, within r miles of the center of a very small town. assume that there are 100 people per square mile within 5 miles of the town’s center, and 350 people per square mile within 7 miles. a. let t(r) be the number of people (in hundreds) who live within r miles of the city. write an expression for t(r), in terms of r and d(r). b. what is the average rate of change of the function t (r) over the interval [5, 7]

a) T(r) = r.D(r)

b) 975 people per square mile.

Step-by-step explanation:

(a)

The units of D(r) are  

when multiplying the density by the area we get the amount of people in that area, so

(b)

The average rate of change of T(r) over the interval [5,7] is

but D(7) = 350 and D(5) = 100, so

and the average rate of change of T(r) over the interval [5,7] is 975 people per square mile.

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation: