The number of gallons g

Question

g
in a swimming pool being filled with water is g=50x+1,000
g
=
50
x
+
1
,
000
, where x
x
is the number of hours since sunrise. It has been 10 hours since sunrise. What is the initial value?

Answer 1

To determine the initial value in the context of the given equation \( g = 50x + 1000 \), we need to evaluate the equation at \( x = 0 \) (which represents the starting point, or sunrise).

Substituting \( x = 0 \) into the equation:

\[ g = 50(0) + 1000 = 0 + 1000 = 1000 \]

Thus, the initial value of \( g \) (the number of gallons in the swimming pool at sunrise) is 1,000 gallons.