Question

The function h(x)=0.4x² models the height of the water level in a pool, in feet after x hours. Part a: After 1 hour, the height of the water level is:

1) 0.4 feet
2) 0.4 square feet
3) 0.4x² feet
4) 1.4 feet

Answer 1

After substituting x with 1 in the given function h(x)=0.4x², the height of the water level after 1 hour is calculated to be 0.4 feet.

The function h(x)=0.4x² models the height of the water level in a pool after x hours. To find the water level after 1 hour, we substitute x with 1 into the equation:

h(1) = 0.4(1)² = 0.4(1) = 0.4 feet.

Therefore, the height of the water level in the pool after 1 hour is 0.4 feet, making the correct option (1) 0.4 feet.