An oil tanker is leaking at a constant rate per minute. After 12 minutes, 537 gallons of oil remain in the tanker. After 16 minutes, 336 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.

T1=12

O1=537

T2=16

O2=336

Slope = (336-537)/(16-12) = -50.25

f(t) = -50.25t + b

Plug in either points

537 = - 50.25 * 12 + b

b = 1140

f(t)= -50.25t + 1140

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true