Given the age in years, t, of a water-transport pipe, the formula r = 17 + 4 t can be used to predict the rate of water leakage (in gallons per minute) from the pipe as it carries water from the headquarters of a farming cooperative to farmland a mile away. what is the meaning of the constant 17 in the function r ?

a. initially the pipe leaks at 4 gallons per year.
b. initially the pipe leaks at 17 gallons per year.
c. initially the pipe leaks 17 gallons.
d. initially the pipe leaks at 4 gallons per minute.
e. initially the pipe leaks 4 gallons.
f. initially the pipe leaks at 17 gallons per minute.

F. Initially the pipe leaks at 17 gallons per minute.

Step-by-step explanation:

Given the equation below:

R = 17 + 4t

Where R is the rate of leakage in gallons per minute,

And t is the age of pipe in years.

The rate of leakage at time t = 0 ( initial rate of leakage )

R(0)= 17 + 4(0)

R(0)= 17 gallons per minute.

Therefore the initial rate of leakage is 17gallons per minute

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752