asapa tech deck is a miniature skateboard toy. a certain tech deck is 3.8” long, and it is a scale model of a skateboard that is 31.75” long. answer a b and c (a) what is the scale factor for the tech deck? (b) if the width of the actual skateboard is 8”, what is the width of the tech deck? (c) measure the length of your own foot. if you were designing a doll that was a scale model of you, and you wanted it to be able to use the tech deck as its skateboard, how long should the doll’s foot be? explain your reasoning.

We know that

[scale factor]=[length miniature skateboard]/[length actual skateboard]
[length miniature skateboard]=3.8 in
[length actual skateboard]=31.75 in
[scale factor]=[3.8]/[31.75]=0.12 in/in

(a)What is the scale factor for the tech deck?
the answer Part A) is 0.12 in/in

(b)If the width of the actual skateboard is 8”, what is the width of the tech deck?
[scale factor]=[width miniature skateboard]/[width actual skateboard]
[width miniature skateboard]=[width actual skateboard]*[scale factor]
for width=8 in
[width miniature skateboard]=[8]*[0.12]> 0.96 in

the answer part B) is 0.96 in

c)Measure the length of your own foot. If you were designing a doll that was a scale model of you, and you wanted it to be able to use the tech deck as its skateboard, how long should the doll’s foot be?

the length of my own foot is 25 cm> 25/2.54> 9.84 in
[scale factor]=[doll foot]/[actual foot]
[doll foot]=[scale factor]*[actual foot]> 0.12*9.84> 1.18 in

the answer part C) is 1.18 in