Highest mileage m(s) = -0.025s2 + 2.45s - 30 This quadratic equation lokks like a upside down parabolla So as it is a form of mileage gunction of speed, its maximum value should be K
The "a" in the vertex form "<span>y = a(x – h)2 + k</span>" of the quadratic is the same as the "a" in the common form of the quadratic equation, "<span>y = ax2 + bx + c</span><span>". </span>
<span>To find the vertex, I look at the coefficients a<span>, </span>b<span>, and </span>c. The formula for the vertex gives me:<span>Y= -0.025s2 + 2.45s - 30 </span><span>h = <span>–b</span>/<span>2a</span> = -2.45/2× -0.025=49</span><span>Put value of h to get K</span><span>k=-0.025(49)^2+2.45×(49)-30</span><span>k= -30.025</span><span>k= -</span>30.0<span> </span></span>
Since a student takes 1/6 hour to paint a picture frame, so in an hour, the student will paint a total of 6 picture frames. So to find the number of picture frames in 4 hours, you just need to multiply 4*6 to get 24 picture frames.
