Question

An archway over a road is cut out of rock. Its shape is modeled by the quadratic funciton: y = 0.1x^2 + 12 for y is greater than or equal to 0.

a) Write an inequality that describes the OPENING of the archway

b) Graph the inequality - I can do this one

c) Can a camper 6ft wide and 7 ft high fir under the arch without crossing the median line? Explain.

Answer 1

Answer:

Step-by-step explanation:

Given

shape of parabola is $y=0.1x^2+12$

$y-12=0.1x^2$

this is parabola which is symmetrical about y axis and vertex at (0,12)

it minimum value can be 12 at x=0

Parabola never intersect with x axis  

(c)Camper is 6 ft wide and 7 ft high

i.e. $x=6 ft$

$y=0.1(6)^2+12$

$y=15.6\ ft$

at $x=6\ ft$ height of arch is $y=15.6\ ft$

therefore camper will fit under the crossing