Select the correct answer.
1 answer:
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Answer:
Evening walk is shorter.
Step-by-step explanation:
We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.
Let us compare both fractions by making the same denominator.
Upon making common denominator, we can see that two-thirds are equal to four sixths.
Since three-sixths is less than four-sixths, therefore, evening walk is shorter.
We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.
We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.
Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.
The solutions to f(x) = g(x) are where the x-values for which the output f(x) is equal to the output of g(x).
What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.
Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.
What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.
Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.