a coordinate grid is mapped on a video game screen, with the origin in the lower-left corner. a game designer programs a helicop
ter to follow a path that can be modeled by a quadratic function with a vertex at (16, 20) and passing through the point (4, 25). she also programs an airplane to move along a linear path that passes through the points (0, 18) and (30, 20). which system of equations can be used to determine whether the paths of the helicopter and airplane cross? mc017-1.jpg mc017-2.jpg mc017-3.jpg mc017-4.jpg
Find the equations then set them equal to each other
y=a(x-h)^2+k quadracit (h,k) is vertex helicopeter vertex at (16,20) y=a(x-16)^2+20 a point is (4,25) 25=a(4-16)^2+20 25=a(-12)^2+20 25=a(144)+20 minus 20 both sides 5=a(144) divide both sides by 155 5/144=a y=(5/144)(x-16)^2+20
we have y=(5/144)(x-16)^2+20 and y=1/15x+18 set equal to each other and solve for x value (5/144)(x-16)^2+20=1/15x+18 after some work and disregard the negative value since that is not allowed x=40.413 plug in y=1/15(40.413)+18 y=20.6942
the x variable represents the number of hours Sam works at the airport the y value represents the amount in dollars that Sam has after paying Daniel the 12 is the amount in dollars that Sam earns per hr the 40 is the amount in dollars Sam owes Daniel
Every month your balance includes the original amount (100%) and the added the monthly interest (1.42%) so each month the balance will be 101.42% of pior month's balance move the decimal point two points two places to the left to make that into a decimal
