- To find which point is a solution to the equation \( y = 2x - 5 \), we can plug in the x-values of the provided points and see if we get the corresponding y-values.
A) For (-1, -5):
\( y = 2(-1) - 5 = -2 - 5 = -7 \) (not -5)
B) For (4, 2):
\( y = 2(4) - 5 = 8 - 5 = 3 \) (not 2)
C) For (2, 0):
\( y = 2(2) - 5 = 4 - 5 = -1 \) (not 0)
D) For (1, -3):
\( y = 2(1) - 5 = 2 - 5 = -3 \) (matches)
So, the correct answer is D) (1, -3).
- The function \( y = 15x + 12 \) represents the total cost of membership at the gym, where \( x \) is the number of months and \( y \) is the cost. Here, $12 is a one-time enrollment fee, and $15 is the monthly fee.
Therefore, the correct interpretation is D) y is the cost and x is the number of months someone is a member of the gym; $12 is the enrollment fee and $15 is the monthly fee.
a) Given that cookies are sold for $2 each and cakes for $10 each, the equation representing the total amount raised ($800) can be written as:
\[ 2c + 10k = 800 \]
So, the correct answer is A) 2c + 10k = 800.
b) If the community center sold a total of 36 cakes (k = 36), we can substitute k into the equation to find the number of cookies sold (c).
First, substitute \( k \) into the equation:
\( 2c + 10(36) = 800 \)
\( 2c + 360 = 800 \)
Now, isolate \( c \):
\( 2c = 800 - 360 \)
\( 2c = 440 \)
\( c = \frac{440}{2} = 220 \)
Thus, the community center sold 220 cookies. The correct answer is C) 220.
2 answers