A certain car is about 100in. long and 60 in. wide. You plan to make a model of this car that is 9 in. wide. How long will your model be?
60 inches : 9 inches
= 20:3 , is your ratio or your scale
so just set up a simple proportion
x/100 = 9/60
x = 100(9/60) = 15
it should be 15 inches long
notice: 100/15 = 20/3
and 60/9 = 20/3
can someone plz give all the answers for this
To find out how long the model car will be, we can use proportions.
Let's set up the proportion:
Original Car Length / Original Car Width = Model Car Length / Model Car Width
Since the original car's length is 100 in and its width is 60 in, we can substitute these values into the equation:
100 in / 60 in = Model Car Length / 9 in
Now, we can cross multiply and solve for the model car's length:
(100 in * 9 in) / 60 in = Model Car Length
900 in / 60 in = Model Car Length
Simplifying further:
15 in = Model Car Length
Therefore, your model car will be 15 inches long.
To find the length of the model car, we can set up a proportion comparing the widths of the actual car and the model car.
Let "x" represent the length of the model car.
The proportion can be set up as follows:
(actual car width) / (actual car length) = (model car width) / (model car length)
In this case, the actual car width is 60 inches, the actual car length is 100 inches, and the model car width is 9 inches.
So, the proportion becomes:
60 inches / 100 inches = 9 inches / x
To solve for "x", we can cross-multiply and solve the resulting equation.
60 inches * x = 9 inches * 100 inches
60x = 900
Dividing both sides by 60, we get:
x = 900 / 60
x = 15
Therefore, the length of the model car will be 15 inches.