You drive a car that holds 15 gallons of gasoline. your car uses 0.03 gal per mi. which equation best represents this information?
a. y = 0.03x + 15
b. y = 0.03x - 15
c. y = -0.03x + 15
d. y = -0.03x - 15

Step-by-step explanation:

A car holds 15 gallons of gasoline.

We are also given that car uses 0.03 gallons per mile

Let x be the distance travelled by car

So, car uses gasoline for x miles = 0.03x

After using 0.03x gallons of gasoline

Remaining amount of gasoline = 15-0.03x

Let y be the amount of gasoline remaining in car after travelling x miles

⇒

Thus the equation best represents this information is

Hence Option C is correct.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.