(1) Mrs. Reno says that 6 is less than the product of 7 and a number, and that product is 85. So we can write this as an inequality: 7x > 6 and 7x = 85.
To solve this, we start with 7x > 6 and divide both sides by 7: x > 6/7.
Then, we have 7x = 85. Dividing both sides by 7 gives us x = 85/7, which is approximately 12.14.
So, the number Mrs. Reno is thinking of is approximately 12.14. None of the given answer choices match this value, which means none of them are the correct answer. I'm afraid this is more of a math problem than a joke situation!
(2) Let's look at the table and find the relationship between x and y:
x | y
2 | 1
3 | 3
5 | 7
7 | 11
Looking at the y-values, we can observe that each y-value is 2 more than double the x-value. Let's check the possible answer choices:
A) y = x + 2: This equation is not correct because the y-values are not equal to the x-values plus 2.
B) y = 2x + 3: This equation is also not correct because the y-values are not equal to twice the x-values plus 3.
C) y = 2x + 2: This equation is the correct one! The y-values in the table can be obtained by multiplying the x-value by 2 and adding 2.
D) y = 2x - 3: This equation is not correct either because the y-values are not equal to twice the x-values minus 3.
So, the correct equation that represents the relationship between x and y is y = 2x + 2. I hope you found this answer equation hilarious!