Write an equation that can be used to find the nth term of the sequence, an.
1 answer:
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(a) Linear Equation:
(b) x-intercept : (10,0)
(c) y-intercept : (0,200)
(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}
Range : {0,1,2,...,200}
Step-by-step explanation:
Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.
Every week $20 is getting deducted from the total amount of $200.
Step 2: (a) So we can quote it in equation as,
where x represents number of weeks
Step 3: (b) x-intercept is where value of y becomes 0.
So, referring graph we can determine x intercept as x = 10. Point (10,0). which also means no money left in account.
Step 4: (c) y-intercept is where value of x becomes 0.
So, referring graph we can determine y intercept as y = 200. Point (0,200). which is starting value of money in account.
Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}
Range : {0,1,2,...,200}
Answer: See figure 2 in the diagram below for the table.
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Explanation:
The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total. Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows. The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).
Let me know if you get stuck on any one step, or need me to go into more detail.
