Question

The table shows the approximate height of a projectile x seconds after being fired into the air. Which equation models the height, y, x seconds after firing? y = –10(x)(x – 5) y = 10(x)(x – 5) y = –10(x – 5) y = 10(x – 5)The table shows the approximate height of a projectile x seconds after being fired into the air.
Which equation models the height, y, x seconds after firing?

y = –10(x)(x – 5)
y = 10(x)(x – 5)
y = –10(x – 5)
y = 10(x – 5)

Answer 1

HELLLOOOO, the answer is A..............goodbye

Answer 2

Data on the missing table.
time (seconds)  x ; 0   1    2     3    4     5
height (meters) y ; 0  40  60  60  40  0
        
We simply substitute the values of x and y to see if they are equal.
x = 2 ; y = 60
y = -10(x) (x-5)
60 = -10(2) (2-5)
60 = -20 (-3)
60 = 60    CORRECT

y = 10(x) (x-5)
60 = 10(2) (2-5)
60 = 20 (-3)
60 = -60  INCORRECT

y = -10(x-5)
60 = -10(2-5)
60 = -10(-3)
60 = 30  INCORRECT

 y = 10(x-5)
60 = 10(2-5)
60 = 10(-3)
60 = -30 INCORRECT

The equation that models the height,y, x seconds after firing is y = -10(x) (x-5)