A tank holds 1000 gallons of water, which drains from the bottom of the tank in

Question

A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes. If P is the point (15, 250) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with the following values. (Round your answers to one decimal place.) Estimate the slope of the tangent line at P by averaging the slopes of two adjacent secant lines. (Round your answer to one decimal place.)

Explanation / Answer

(a) If P (15,250) is on the graph of V(t) then slppe of secant line PQ when

Q(5,699); m=(699-250)/(5-15)= -449/10= -44.9

Q(10,434); m=(434-250)/(10-15)= -184/5= -36.8

Q(20,110); m=(110-250)/(20-15)= -140/5= -28

Q(25,27); m=(27-250)/(25-15)= -223/10= -22.3

Q(30,0); m=(0-250)/(30-15)= -250/15= -16.711`

(b) secent 1: (10,434) to (15,250); slope m1=-36.8

   Secant 2: (20,110) t0 (15,250); slpe m2= -28

therfore Average=(-36.8-28)/2= -32.4

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.