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

25

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.