Question
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A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Based on the given graph, which month of the year has the lowest amount of average rainfall, and what is that amount of rainfall?
A. June has the lowest amount of rainfall at about 2 inches.
B. April has the lowest amount of rainfall at about 0.6 inch.
C. June has the lowest amount of rainfall at about 0.2 inch.
D. December has the lowest amount of rainfall at about 3.2 inches.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Based on the given graph, which month of the year has the lowest amount of average rainfall, and what is that amount of rainfall?
A. June has the lowest amount of rainfall at about 2 inches.
B. April has the lowest amount of rainfall at about 0.6 inch.
C. June has the lowest amount of rainfall at about 0.2 inch.
D. December has the lowest amount of rainfall at about 3.2 inches.
Answers
Answer
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A line graph shows number of products sold versus profit per product sold in dollars. The x-axis represents number of products sold, ranging from 0 to 500 in increments of 100. The y-axis shows the profit per product sold in dollars ranging from 0 to 40 in increments of 10. A smooth curve is plotted on the graph that passes through the following approximate points left parenthesis 0 comma 0 right parenthesis, left parenthesis 100 comma 20 right parenthesis, left parenthesis 300 comma 34 right parenthesis, left parenthesis 400 comma 30 right parenthesis, and left parenthesis 500 comma 25 right parenthesis.
The given graph represents the relationship between the profit per product sold versus the total number of products sold in a business model. To achieve the maximum profit per product sold, how many products does this business need to sell?
A line graph shows number of products sold versus profit per product sold in dollars. The x-axis represents number of products sold, ranging from 0 to 500 in increments of 100. The y-axis shows the profit per product sold in dollars ranging from 0 to 40 in increments of 10. A smooth curve is plotted on the graph that passes through the following approximate points left parenthesis 0 comma 0 right parenthesis, left parenthesis 100 comma 20 right parenthesis, left parenthesis 300 comma 34 right parenthesis, left parenthesis 400 comma 30 right parenthesis, and left parenthesis 500 comma 25 right parenthesis.
The given graph represents the relationship between the profit per product sold versus the total number of products sold in a business model. To achieve the maximum profit per product sold, how many products does this business need to sell?
Answer
Determine the rate of change in the following description. In Ms. Katy’s math class, a homework assignment is worth 100 points. If students turn the homework in late, there will be a deduction of 5 points per day.
A. m = −5
B. m = −100
C. m = 100
D. m = 5
A. m = −5
B. m = −100
C. m = 100
D. m = 5
Answer
Use the table to answer the question.
x y
2.6 −6
3.2 3
Determine the rate of change of the linear function given as a table of values.
A. m = 0.067
B. m = 15
C. m = −15
D. m = −5
x y
2.6 −6
3.2 3
Determine the rate of change of the linear function given as a table of values.
A. m = 0.067
B. m = 15
C. m = −15
D. m = −5
Answer
Find the initial value of the linear function, given that the rate of change is m = −47, and (14,3) is an (x,y) value of the linear function.
A. b = 12.29
B. b = −5
C. b = 11
D. b = 15.71
A. b = 12.29
B. b = −5
C. b = 11
D. b = 15.71
Answer
That's not one of the options.
Answered by
GPT 3.5
C. June has the lowest amount of rainfall at about 0.2 inch.
Answered by
GPT 3.5
To achieve the maximum profit per product sold, the business needs to sell 300 products.
This is because at 300 products sold, the profit per product reaches its peak value of $34.
This is because at 300 products sold, the profit per product reaches its peak value of $34.
Answered by
GPT 3.5
D. m = 5
The rate of change is a deduction of 5 points per day for late homework turn-in.
The rate of change is a deduction of 5 points per day for late homework turn-in.
Answered by
GPT 3.5
To determine the rate of change, we need to calculate the slope of the line passing through the two points given in the table.
First, we calculate the change in y: 3 - (-6) = 9
Then, we calculate the change in x: 3.2 - 2.6 = 0.6
Now, we calculate the rate of change (slope): m = change in y / change in x
m = 9 / 0.6
m = 15
So, the rate of change of the linear function represented by the table of values is:
B. m = 15
First, we calculate the change in y: 3 - (-6) = 9
Then, we calculate the change in x: 3.2 - 2.6 = 0.6
Now, we calculate the rate of change (slope): m = change in y / change in x
m = 9 / 0.6
m = 15
So, the rate of change of the linear function represented by the table of values is:
B. m = 15
Answered by
GPT 3.5
To find the initial value (y-intercept) of the linear function, we can use the slope-intercept form of a linear equation:
y = mx + b
Where:
m = slope (rate of change) = -47
(x, y) = (14, 3)
Substitute the values into the equation:
3 = -47(14) + b
3 = -658 + b
Solve for b:
b = 3 + 658
b = 661
Therefore, the initial value of the linear function is b = 661, which means that:
A. b = 661
y = mx + b
Where:
m = slope (rate of change) = -47
(x, y) = (14, 3)
Substitute the values into the equation:
3 = -47(14) + b
3 = -658 + b
Solve for b:
b = 3 + 658
b = 661
Therefore, the initial value of the linear function is b = 661, which means that:
A. b = 661
Answered by
GPT 3.5
Apologies for the error. Let's check the calculation again:
Given:
m = -47
(x, y) = (14, 3)
Using the point-slope formula:
y - y1 = m(x - x1)
Substitute the values:
3 - 3 = -47(14 - 14) + b
0 = 0 + b
b = 0
Therefore, the initial value of the linear function is b = 0, which corresponds to:
A. b = 0
Given:
m = -47
(x, y) = (14, 3)
Using the point-slope formula:
y - y1 = m(x - x1)
Substitute the values:
3 - 3 = -47(14 - 14) + b
0 = 0 + b
b = 0
Therefore, the initial value of the linear function is b = 0, which corresponds to:
A. b = 0
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