Use the image to answer the question.
An illustration of a scatterplot graph is titled Price versus Units Sold. It shows x-axis, labeled as units sold in hundreds, ranging from 0 to 13 in increments of 1 and y-axis, labeled as price in dollars, ranging from 0 to 44 in increments of 4.
Multiple points are plotted around a line that points downward to the right with an arrowhead on the bottom. The line passes through the approximate points: left parenthesis 0 comma 40 right parenthesis, left parenthesis 2 comma 36 right parenthesis, left parenthesis 4 comma 32 right parenthesis, left parenthesis 6 comma 28 right parenthesis, left parenthesis 8 comma 24 right parenthesis, left parenthesis 10 comma 20 right parenthesis, and left parenthesis 13 comma 14 right parenthesis. 29 points are plotted close to the line.
Write an equation in slope-intercept form of the trend line.
A. y=−2x+40
B. y=−2x+24
C. y=−43x+40
D. y=2x+40
y equals 2 x plus 40
11 answers
A. y=−2x+40
Use the image to answer the question.
An illustration shows the first quadrant of a coordinate plane titled Temperature Fahrenheit vs Ice Cream Sales.
The x-axis shows temperature in degrees Fahrenheit and ranges from 0 to 85 in increments of 5. The y-axis shows sales in dollars and ranges from 0 to 500 in increments of 50. Eight points are plotted on the graph. The points are plotted at approximate coordinates left parenthesis 0 comma 100 right parenthesis, left parenthesis 50 comma 180 right parenthesis, left parenthesis 55 comma 210 right parenthesis, left parenthesis 60 comma 230 right parenthesis, left parenthesis 65 comma 350 right parenthesis, left parenthesis 70 comma 70 right parenthesis, left parenthesis 70 comma 375 right parenthesis, and left parenthesis 80 comma 500 right parenthesis. An upward slanting line starts at left parenthesis 0 comma 40 right parenthesis and continues to left parenthesis 65 comma 325 right parenthesis.
Market data are gathered for ice cream sales based on the temperature in Fahrenheit. Interpret the slope and y-intercept (0,38) of the linear model, using the ordered pair (65,325). Round the slope to the nearest hundredth.
A. For every degree increase in temperature, ice cream sales increase $4.40.
B. For every degree increase in temperature, ice cream sales increase $4.42.
C. For every 4.42 increase in temperature, ice cream sales increase $1.
D. For every degree increase in temperature, ice cream sales increase $0.23.
An illustration shows the first quadrant of a coordinate plane titled Temperature Fahrenheit vs Ice Cream Sales.
The x-axis shows temperature in degrees Fahrenheit and ranges from 0 to 85 in increments of 5. The y-axis shows sales in dollars and ranges from 0 to 500 in increments of 50. Eight points are plotted on the graph. The points are plotted at approximate coordinates left parenthesis 0 comma 100 right parenthesis, left parenthesis 50 comma 180 right parenthesis, left parenthesis 55 comma 210 right parenthesis, left parenthesis 60 comma 230 right parenthesis, left parenthesis 65 comma 350 right parenthesis, left parenthesis 70 comma 70 right parenthesis, left parenthesis 70 comma 375 right parenthesis, and left parenthesis 80 comma 500 right parenthesis. An upward slanting line starts at left parenthesis 0 comma 40 right parenthesis and continues to left parenthesis 65 comma 325 right parenthesis.
Market data are gathered for ice cream sales based on the temperature in Fahrenheit. Interpret the slope and y-intercept (0,38) of the linear model, using the ordered pair (65,325). Round the slope to the nearest hundredth.
A. For every degree increase in temperature, ice cream sales increase $4.40.
B. For every degree increase in temperature, ice cream sales increase $4.42.
C. For every 4.42 increase in temperature, ice cream sales increase $1.
D. For every degree increase in temperature, ice cream sales increase $0.23.
B. For every degree increase in temperature, ice cream sales increase $4.42.
A company buys a copy machine for $10,500 and is represented by the ordered pair (0,10,500). After 5 years, it is worth $5,500 and is represented by the ordered pair (5,5,500). What will the machine be worth in 10 years?
A. After 500 years, the copy machine is worth $10.
B. After 10 years, the copy machine is worth $9,500.
C. After 10 years, the copy machine is worth $500.
D. After 10 years, the copy machine is worth $10,500.
A. After 500 years, the copy machine is worth $10.
B. After 10 years, the copy machine is worth $9,500.
C. After 10 years, the copy machine is worth $500.
D. After 10 years, the copy machine is worth $10,500.
A. After 10 years, the copy machine is worth $10.
Erm, acthually, it's C 🤓
You're right! My previous response did not correctly interpret the scenario. The copy machine depreciates in value, so after 10 years, it will be worth $500. Therefore, the correct answer is:
C. After 10 years, the copy machine is worth $500. Thank you for your patience.
C. After 10 years, the copy machine is worth $500. Thank you for your patience.
Market data are gathered for ice cream sales, y, based on the temperature in degrees Fahrenheit, x. Using the equation of the trend line, y = 6.52x + 30, predict the sales in dollars and cents if the temperature is 70° Fahrenheit.
A. If the temperature is 70° Fahrenheit, the sales of ice cream is $486.40.
B. If the temperature is 70° Fahrenheit, the sales of ice cream is $75.64.
C. If the temperature is 70° Fahrenheit, the sales of ice cream is $106.52.
D. If the temperature is 70° Fahrenheit, the sales of ice cream is $30.09.
A. If the temperature is 70° Fahrenheit, the sales of ice cream is $486.40.
B. If the temperature is 70° Fahrenheit, the sales of ice cream is $75.64.
C. If the temperature is 70° Fahrenheit, the sales of ice cream is $106.52.
D. If the temperature is 70° Fahrenheit, the sales of ice cream is $30.09.
To predict the sales when the temperature is 70°F using the equation y = 6.52x + 30, we substitute x = 70 into the equation:
y = 6.52(70) + 30
y = 457 + 30
y = 487
So, if the temperature is 70°F, the predicted ice cream sales would be $487.00. Therefore, the closest answer is:
A. If the temperature is 70° Fahrenheit, the sales of ice cream is $486.40.
y = 6.52(70) + 30
y = 457 + 30
y = 487
So, if the temperature is 70°F, the predicted ice cream sales would be $487.00. Therefore, the closest answer is:
A. If the temperature is 70° Fahrenheit, the sales of ice cream is $486.40.
Use the image to answer the question.
An illustration of a scatterplot graph is titled Animal Longevity. It shows x-axis, labeled as average, ranging from 0 to 45 in increments of 5 and y-axis, labeled as maximum, ranging from 0 to 80 in increments of 10.
Multiple points are plotted around a line that points upward to the right with an arrowhead on the top. The line passes approximately through left parenthesis 0 comma 20 right parenthesis, left parenthesis 15 comma 40 right parenthesis, left parenthesis 30 comma 60 right parenthesis, and left parenthesis 40 comma 78 right parenthesis. Two dotted lines are drawn forming a triangle under the line with the line being the hypotenuse. The dotted lines are drawn from left parenthesis 15 comma 40 right parenthesis to left parenthesis 30 comma 40 right parenthesis and from left parenthesis 30 comma 60 right parenthesis to left parenthesis 30 comma 40 right parenthesis. 8 points are plotted close to the line.
Write an equation in slope-intercept form of the trend line.
An illustration of a scatterplot graph is titled Animal Longevity. It shows x-axis, labeled as average, ranging from 0 to 45 in increments of 5 and y-axis, labeled as maximum, ranging from 0 to 80 in increments of 10.
Multiple points are plotted around a line that points upward to the right with an arrowhead on the top. The line passes approximately through left parenthesis 0 comma 20 right parenthesis, left parenthesis 15 comma 40 right parenthesis, left parenthesis 30 comma 60 right parenthesis, and left parenthesis 40 comma 78 right parenthesis. Two dotted lines are drawn forming a triangle under the line with the line being the hypotenuse. The dotted lines are drawn from left parenthesis 15 comma 40 right parenthesis to left parenthesis 30 comma 40 right parenthesis and from left parenthesis 30 comma 60 right parenthesis to left parenthesis 30 comma 40 right parenthesis. 8 points are plotted close to the line.
Write an equation in slope-intercept form of the trend line.
To find the equation of the trend line, we need to use the coordinates of two points that lie on the line. Let's use (0, 20) and (40, 78) to calculate the slope:
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (78 - 20) / (40 - 0)
Slope (m) = 58 / 40
Slope (m) = 1.45 (rounded to two decimal places)
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the trend line. Let's choose the point (0, 20):
y - y1 = m(x - x1)
y - 20 = 1.45(x - 0)
y - 20 = 1.45x
y = 1.45x + 20
Therefore, the equation of the trend line in slope-intercept form is:
y = 1.45x + 20
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (78 - 20) / (40 - 0)
Slope (m) = 58 / 40
Slope (m) = 1.45 (rounded to two decimal places)
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the trend line. Let's choose the point (0, 20):
y - y1 = m(x - x1)
y - 20 = 1.45(x - 0)
y - 20 = 1.45x
y = 1.45x + 20
Therefore, the equation of the trend line in slope-intercept form is:
y = 1.45x + 20
1 answer