A can of chicken noodle soup is on sale for $1.25 a can. You have a coupon for $2.25 off your total purchase.
Part 1) Write a function rule for the first of n cans.
C(n) = 1.25n + 2.25
C(n) = n
C(n) = 2.25n + 1.25
C(n) = 3.50n
C(n) = 1.25n - 2.25
C(n) = 2.25n - 1.25
C(n) = 1.25n - 2.25
Part 2) How much would 11 cans of chicken soup cost?
A. $11.50
B. $16
C. $23.50
D. $26
E. $10.50
F. $10.00
G. $11.00
To find the cost of 11 cans of chicken noodle soup, we can substitute 11 into the function rule.
C(n) = 1.25n - 2.25
C(11) = 1.25(11) - 2.25
= 13.75 - 2.25
= 11.50
Therefore, the cost of 11 cans of chicken soup would be $11.50.
The correct answer is A. $11.50.
Bean sprouts grow very quickly. A bean sprout has grown to a height of 5 millimetrs. Tomorrow it will be 14 millimeters tall, the next day it will be 23 millimeters tall, and on the next day it will be 32 millimeters tall.
Part 1) Write a rule to represent the height of the bean sprout as an arithmetic sequence.
A. A(n) = 5 + (n - 1) 9
B. A(n) = 14 + (n - 1)9
C. A(n) = 5 - (n - 1)9
D. A(n) = 9n
E. A(n) = 9 + (n + 1)5
To represent the height of the bean sprout as an arithmetic sequence, we can observe that the height increases by 9 millimeters each day.
We also know that on the first day, the height is 5 millimeters.
Therefore, the correct rule to represent the height of the bean sprout as an arithmetic sequence is:
A(n) = 5 + (n - 1)9
The correct answer is A. A(n) = 5 + (n - 1)9.
Part 2) How tall will the bean sprout be in 12 days?
A. 113 millimeters
B. 104 millimeters
C. 74 millimeters
D. 108 millimeters
E. 94 millimeters
To find the height of the bean sprout in 12 days, we can substitute n = 12 into the arithmetic sequence rule.
A(n) = 5 + (n - 1)9
A(12) = 5 + (12 - 1)9
= 5 + 11 * 9
= 5 + 99
= 104
Therefore, the bean sprout will be 104 millimeters tall in 12 days.
The correct answer is B. 104 millimeters.