A student spends the same amount each week for bus fare. In 6 weeks, he spends $81. Which equation shows this relationship? Let x = number of weeks. y = 2.25x

y = 6x

y = 13.50x

y = 81x

The answer is 13.50x

Step-by-step explanation:

81 / 6=13.5 per week

$15 each

step-by-step explanation:

$45/3 children= $15 each

< 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)