1. The sales tax in TN on nonfood items is 7%. Which equation shows the relationship of the price of an item p to the total cost of c?
A) p=1.07c
B) c=1.07p
C) p=7c
D) c=7p
I think the answer is D.
2. Which relation is not a function?
A) y=3x2
B) y=1x+31
C) y=3x
D) They are all functions
answer is D
YOu are wrong on both.
On question #2 the 2 on answer A is a small 2 above the x
1. Which situation is not a function?
a) the number of days d below freezing each month
b) the total cost of an item that costs x dollars with 7% sales tax
c) the number if miles driven at a constant speed of 45 miles per hour after x hours
d)the total cost of n tickets that cost $23 each.
Answer is B
To determine the correct answer to the first question, you need to understand the relationship between the price of an item and its total cost, taking into account the 7% sales tax in Tennessee on nonfood items. The sales tax is applied to the price of the item, resulting in an increased total cost.
Let's go through the options one by one:
A) p=1.07c: This equation represents the relationship where the price is 107% of the total cost. It correctly includes the 7% sales tax, so it is a valid equation.
B) c=1.07p: This equation suggests that the total cost is 107% of the price. However, it does not account for the sales tax, so it is incorrect.
C) p=7c: This equation indicates that the price is 7 times the total cost. It does not consider the sales tax, so it is also incorrect.
D) c=7p: This equation suggests that the total cost is 7 times the price. Similar to option C, it does not account for the sales tax and is therefore incorrect.
By analyzing the options in this context, we find that the correct answer is indeed A) p=1.07c. This equation accurately represents the relationship between the price and total cost, factoring in the 7% sales tax.
For the second question, you need to determine which relation is not a function. A function is a relation where each input (x) has a unique output (y) associated with it.
Let's evaluate each option:
A) y=3x^2: This equation is a function because each x-value has only one corresponding y-value.
B) y=1x+31: This equation is also a function as there is only one y-value for each x-value.
C) y=3x: This equation is a function because every x-value has a unique y-value.
D) They are all functions: This option claims that all the relations are functions. However, option D is incorrect because option A involves a quadratic term (x^2), which means each x-value can have two corresponding y-values (positive and negative). Therefore, option D is not a function.
Hence, the correct answer for the second question is D) They are all functions.