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y-intercepts in Real-World Problems Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
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

1 answer

To find the initial value of the number of gallons \( g \) in the swimming pool, we need to evaluate the equation \( g = 50x + 1,000 \) when \( x = 0 \), which represents the situation at sunrise (the initial time).

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

\[ g = 50(0) + 1,000 \] \[ g = 0 + 1,000 \] \[ g = 1,000 \]

So the initial value of the number of gallons in the swimming pool is 1,000 gallons.