Question

Solve for x in the equation:

x cm = 1 ft 7 in = 3 ft 5 in = 40.0 cm
Which value of x is correct?
A) x = 15.2
B) x = 16.3
C) x = 17.4
D) x = 18.5
E) x = 19.6

Answer 1

To solve for x in the given equation, we can set up proportions to find the height in inches and the height of the actual model. Solving these proportions, we find that x equals 150 cm and 75 cm respectively. Therefore, the correct value of x is 75 cm (option C).

Step-by-step explanation:

x cm = 1 ft 7 in = 3 ft 5 in = 40.0 cm

First, set up a proportion to find the height in inches.

1. 12 inches / 1 foot = x inches / 3.5 feet

Next, cross multiply to solve for x.

1. 12/1 = x/3.5

x = 150

Next, set up a proportion to find the height of the actual model:

1. 1 cm / 0.5 m = 150 cm / x m

Then, cross multiply to solve for x.

1. 1/0.5 = 150/x

x = 75

Therefore, the correct value of x is x = 75 cm (option C).