Please Help!!,
The dimensions of a photo of a mountain bike are 15cm by 12cm. An enlargement is to be made for a poster with dimensions 4.0m by 3.2m.
What is the scale factor of the poster to the nearest tenth?
15 cm = .15 m
4.0 m / .15 m = 26 2/3 to 1
similarly
3.2 m / .12 m = 26 2/3 to 1
26 2/3 / 1 = 26.7/1
To find the scale factor, we need to compare the dimensions of the photo and the poster.
The dimensions of the photo are 15cm by 12cm.
The dimensions of the poster are 4.0m by 3.2m.
First, we convert the dimensions of the photo to meters, since the dimensions of the poster are in meters.
1 meter = 100 centimeters
So, the dimensions of the photo in meters are:
Length: 15cm ÷ 100cm/m = 0.15m
Width: 12cm ÷ 100cm/m = 0.12m
Now, we can find the scale factor by dividing the dimensions of the poster by the dimensions of the photo:
Scale Factor = (Length of Poster ÷ Length of Photo) = (4.0m ÷ 0.15m) = 26.67 (rounded to the nearest hundredth)
Scale Factor = (Width of Poster ÷ Width of Photo) = (3.2m ÷ 0.12m) = 26.67 (rounded to the nearest hundredth)
Since the scale factor is the same for both the length and width, we can conclude that the scale factor of the poster to the nearest tenth is 26.7.