Determine the rate of change and what the rate of change represents in this situation.
1 answer:
Answer:
The first answer is the one you want
Step-by-step explanation:
The rate of change is the slope. Here it is represented by the dollar value/number of tickets sold. This will give you the 1:1 ratio, meaning it will give you the number of dollars generated by the sale of 1 ticket. That's what rate of change is.
Use the slope formula and 2 points on the table. I chose the points (225, 250) and (200, 0):
That translates to $10 per ticket.
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<u>Part A
</u><u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case,
and 
equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.
<u>Part B
</u><u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.
Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.
Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.
Now, we can simply add our numerators.
We know that he needs
gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.
Using that logic, we can see that the painter needs exactly
gallons of paint.
</u><u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case,
<u>Part B
</u><u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.
Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.
Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.
Now, we can simply add our numerators.
We know that he needs
Using that logic, we can see that the painter needs exactly
Answer:
Domain = [5,∞)
Step-by-step explanation:
Given:
We are given that f(x) is shifted right by 5 units.
Rule : f(x)→f(x-b)
The graph f(x) shifted b units right
So, using rule : →
So,
Now to find domain:
So, Domain = [5,∞).