Cesar is coordinator planning the Home Run Derby. You want to select players who deserve to be there and will put on a show. To begin your planning, you have had a computer create regression
models of their longest home runs in the past month. In these models, x represents the horizontal
distance in feet and h(x) represents the height of the ball in feet. How high did these homeruns go?
What was their horizontal distance? You also have their current total home runs on the season.
There are only four spots. Who would you recommend?
Machado - 13 HR
h(x) = -0.0025(x - 188) + 87
Freeman - 17 HR
h(x) = -0.0022(x - 210) +98
Rizzo - 20 HR
Stanton - 24 HR
Abreu - 19 HR
h(x) = -0.0019(x - 172)² + 55
Ortiz - 17 HR
h(x) = -0.0034(x – 174) + 102
h(x) = -0.0018(x - 242) + 103
h(x) = -0.0018(x - 193)² +68

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?