Atown in east texas received 35 inches of rain in two weeks. if it kept raining at this rate for a 31−day month, how much rain did the town receive? round your answer to the nearest inch.

The amount of rain the town received in 31-day month is ≈ 78 inches to the nearest inches.

Step-by-step explanation:

We can use proportion to solve this

Let x represent the amount of rain the town receive in 31-day month

Two weeks is equivalent to 14 days

14 days = 35 inches

31 days  =    x

Cross-multiply

14 × x  =  31×35

14 x  =  1085

Divide both-side by 14 to get the value of x

  =  

(On the left-hand side of the equation 14 at the numerator will cancel-out 14 at the denominator leaving us with just x while on the left-hand side of the equation 1085 will be divided by 14)

x = 77.5 inches

x ≈ 78 inches to the nearest inches

Therefore the amount of rain the town received in 31-day month is ≈ 78 inches to the nearest inches.

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: