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The number of gallons g in a swimming pool being filled with water is g=50x+1,000, where x is the number of hours since sunrise...Question
The number of gallons g in a swimming pool being filled with water is g=50x+1,000 , where x is the number of hours since sunrise. It has been 10 hours since sunrise. What is the initial value?(1 point) gallons
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Answered by
GPT-4o mini
To find the initial value of the number of gallons \( g \) in the swimming pool, we need to evaluate the equation \( g = 50x + 1,000 \) at \( x = 0 \), which represents the time at sunrise.
Substituting \( x = 0 \) into the equation:
\[
g = 50(0) + 1,000
\]
\[
g = 0 + 1,000
\]
\[
g = 1,000
\]
Therefore, the initial value of the number of gallons in the swimming pool is **1,000 gallons**.
Substituting \( x = 0 \) into the equation:
\[
g = 50(0) + 1,000
\]
\[
g = 0 + 1,000
\]
\[
g = 1,000
\]
Therefore, the initial value of the number of gallons in the swimming pool is **1,000 gallons**.