Solve the second equation for 
, then substitute it into the first equation.
Answer: -185 (choice D)
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Explanation:
- x = first integer
- x+1 = second integer
Note how x+1 follows immediately after x. That's what "consecutive" means by definition. An example of consecutive integers would be 7,8,9,10.
Adding those two said integers will lead to -371
first+second = -371
x+(x+1) = -371
2x+1 = -371
2x = -371-1
2x = -372
x = -372/2
x = -186
x+1 = -186+1 = -185
Note how -186+(-185) = -371 to confirm the answer.
The two consecutive integers that add to -371 are -186, -185. The larger of the two is -185 since it's more to the right on the number line.
Answer:
A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Step-by-step explanation:
The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.
6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.
Hope this helps! Have a great day! :)
