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1 answer:
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Answer:
B, C, E
Step-by-step explanation:
Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.
Select all the statements about the situation that are true.
A. Elena makes more money for making 10 calls than Diego makes for washing 10 windows.
Elena:
$1 = 1 call
$10 = 10 calls
Diego:
27 windows = $30
10 windows = $x
Cross product
27*x = 30*10
27x = 300
x = 300/27
x = $11.11
Statement A not true
B. Diego makes more money for washing each window than Elena makes for making each call.
Diego:
10 windows = $11.11
Each window = $11.11/10
= $1.11
Statement B is true
C. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows
Elena:
20 calls = $20
Diego:
18 windows = 18 × $1.11
= $19.98
Approximately $20 to the nearest whole dollar
Statement C is true
D. Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.
Diego
35 × $1.11 = $38.85
Approximately $39
Elena:
40 calls = $40
Statement D is not true
E. The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.
Statement E is true
<h3>Answer: 3</h3>
Explanation:
Refer to the graph below. It should be similar to what your teacher gave you, based off the description.
Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.
As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.
In terms of notation, we can write
The portion means we're approaching 3 from the positive side, aka the right hand side on the number line.
Answer:
Applied the definition and the limit.
They had the same result, so the function is continuous.
Step-by-step explanation:
At function f(x) is continuous at x = a if:
In this question:
At x = 3.
Since , f(x) is continuous at x = 3.