SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given function
STEP 2: Plot the given function
STEP 3: choose the correct graph
It can be seen from the plotted graph in step 2 that:
Hence, comparing the x-intercepts, the correct graph is seen in:
Just solve until the answers are the same
25 times x plus 30 for John
15 times x plus 50 for Mary
Answer:
20x + 17 = 77 --> Addition Property of Equality:
You are adding (Addition Property) 4x to both sides of the equal sign (Equality).
20x = 60 --> Subtraction Property of Equality:
You subtracted (Subtraction Property) 17 from both sides of the equal sign (Equality).
x = 3 --> Division Property of Equality:
You divided (Division Property) 20 from both sides of the equal sign (Equality) to completely isolate the variable x.
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PART 1:
Jeremy gives the correct answer.
The value of 0.41 [with a bar over the digit 4 and 1] shows that the digit 4 and 1 are reoccurring = 0.414141414141414141....
Jenny's assumption of 41/100 will give a decimal equivalency of 0.41 [without a bar over digit 4 and 1]. This value is not a reoccurring decimal value.
PART 2:
The long division method is shown in the picture below
PART 3:
As mentioned in PART 1, the result of converting 41/100 into a decimal is 0.41 [non-reoccuring decimal] while converting 41/99 into a decimal is 0.41414141... [re-occuring decimal]. The conjecture in PART 1 is correct
