QuestionTravis has a 4" x 6" photo. a) If enlarged to 16" wide, what is the new height? b) Can it be enlarged to 8" x 10"? Answer y or .
Studdy Solution
STEP 1
Assumptions1. The original photograph is4 inches wide and6 inches tall. . The enlargement of the photograph is proportional, meaning the ratio of width to height remains the same.
STEP 2
First, we need to find the ratio of the width to the height of the original photograph.
STEP 3
Now, plug in the given values for the width and height to calculate the ratio.
STEP 4
Calculate the ratio.
STEP 5
Now that we have the ratio, we can find the height of the enlarged photograph. We do this by multiplying the width of the enlarged photograph by the ratio.
STEP 6
Plug in the values for the width of the enlarged photograph and the ratio to calculate the height.
STEP 7
Calculate the height of the enlarged photograph.
So, the enlarged photograph is10.67 inches tall.
STEP 8
Now, let's answer the second part of the question. If Travis wants to enlarge the photograph to8 inches by10 inches, we need to check if the ratio of width to height is the same as the original photograph.
STEP 9
Plug in the values for the new width and new height to calculate the new ratio.
STEP 10
Calculate the new ratio.
STEP 11
Now, compare the new ratio with the original ratio. If they are equal, then the enlargement is proportional. If not, then it is not proportional.
The original ratio is/3 and the new ratio is4/5. Since these two ratios are not equal, the enlargement to8 inches by10 inches is not proportional. So, the answer is .
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