Based on the given information, we can see that the height of the blade of grass is increasing by 11 millimeters each day. To represent this as an arithmetic sequence, we use the formula: A(n) = a + (n-1)d, where a is the initial height, n is the number of days, and d is the common difference.
In this case, the initial height is 12 millimeters and the common difference is 11 millimeters. So the rule to represent the height of the blade of grass is: A(n) = 12 + (n-1)11.
To find the height of the blade of grass in 15 days, we substitute n = 15 into the formula: A(15) = 12 + (15-1)11 = 12 + 14(11) = 12 + 154 = 166 millimeters.
Therefore, the correct answer is: A(n) = 12 + (n-1)11; 166 millimeters.
Grass seeds grow rapidly. A grass seed has grown to a 12 millimeter tall blade of grass. Tomorrow it will be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be 45 millimeters tall. Write a rule to represent the height of the blade of grass as an arithmetic sequence. How tall will the blade of grass be in 15 days? (1 point) Responses A(n) = 16 + (n – 1)11; 194 millimeters A(n) = 16 + ( n – 1)11; 194 millimeters A(n) = 12 + (n – 1)11; 166 millimeters A(n) = 12 + ( n – 1)11; 166 millimeters A(n) = 13n; 195 millimeters A(n) = 13 n ; 195 millimeters A(n) = 12n; 180 millimeters A(n) = 12 n ; 180 millimeters
5 answers
A magician charges $50.00 for a visit and an additional $7.50 for each hour he performs. The function rule C = 7.50h + 50.00 describes the relationship between the number of hours h and the total cost of the visit C. If the magician will only visit a maximum of 8 hours, what is a reasonable graph of the function rule? (1 point) Responses The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 10 comma 125 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 10 comma 125 right parenthesis. Image with alt text: The first quadrant of a graph is shown. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 10 comma 125 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 10 comma 125 right parenthesis. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 2 comma 65 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 2 comma 65 right parenthesis, passing through all points, and ending at left parenthesis 8 comma 110 right parenthesis. Image with alt text: The first quadrant of a graph is shown. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 2 comma 65 right parenthesis, left parenthesis 5 comma 87.5 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 2 comma 65 right parenthesis, passing through all points, and ending at left parenthesis 8 comma 110 right parenthesis. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 4 comma 80 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 8 comma 110 right parenthesis. Image with alt text: The first quadrant of a graph is shown. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 4 comma 80 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and ending at left parenthesis 8 comma 110 right parenthesis. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 4 comma 80 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and extending off the graph to the right. Image with alt text: The first quadrant of a graph is shown. The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at left parenthesis 0 comma 50 right parenthesis, left parenthesis 4 comma 80 right parenthesis, and left parenthesis 8 comma 110 right parenthesis. A line is drawn starting at left parenthesis 0 comma 50 right parenthesis, passing through all points, and extending off the graph to the right. Skip to n
The correct answer is: The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at (0, 50), (5, 87.5), and (10, 125). A line is drawn starting at (0, 50), passing through all points, and ending at (10, 125).
This graph accurately represents the relationship between the number of hours and the total cost of the visit, as described by the function rule C = 7.50h + 50.00.
This graph accurately represents the relationship between the number of hours and the total cost of the visit, as described by the function rule C = 7.50h + 50.00.
answer in ABCD format
The correct answer in ABCD format is:
C) The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at (0, 50), (5, 87.5), and (10, 125). A line is drawn starting at (0, 50), passing through all points, and ending at (10, 125).
C) The horizontal axis is labeled hours h and it goes from 0 to 14. The vertical axis is labeled cost c and it goes from 0 to 120. Points are plotted at (0, 50), (5, 87.5), and (10, 125). A line is drawn starting at (0, 50), passing through all points, and ending at (10, 125).