Which situation is most likely to show a constant rate of change?
a. the number of customers in a grocery store compared with the day of the week
b. the speed of the wind on a stormy day compared with the time of day
c. the amount of gasoline in a car's tank while driving on a highway at a constant speed compared with time
d. the distance of a student from home during a school day compared with the time of day

- C. The amount of gasoline in a car's tank while driving on a highway at a constant speed compared with time.

Explanation:-

A. The number of customers in a grocery store does not change at a constant rate compared with the day of the week.

B.The speed of the wind on a stormy day does not change at a constant rate compared with the time of day.

C.The amount of gasoline in a car's tank while driving on a highway change at a constant rate at a constant speed compared with time

.[as velocity=rate of change in distance]

D.The distance of a student from home during a school day does not change at a constant rate compared with the time of day.[as distance remains constant compared to time]

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)