Olives solar powered scooter travels at a rate of 30 miles per hour. What equations can she use to calculate her distance with relation to time she is traveling?

D = 30*T, where D is the distance in miles and T is the time in seconds

Step-by-step explanation:

The speed of the powered scooter is 30 miles per second, so for each second, her distance will be 30 miles.

With that information, we can formulate an equation that shows her distance with relation to time:

Let's call her distance D, and the time she is traveling T

if in one second she travels 30 miles, in T seconds she will travel 30*T miles, and that is the distance she travelled, so the equation is:

D = 30*T.

The equation that relates the distance to the time of travel for that scooter is distance = 30*time

Step-by-step explanation:

Since we were given the speed at which Olive's scooter travels we can use the equation for speed in order to relate the time and distance travelled. The equation for speed is:

v = distance/time

The problem wants us to relate the distance to the time travelled, so we can isolate the distance by rearranging the equation such as:

time*v = distance

distance = time*v

Since we know the velocity we have:

distance = 30*time

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.