representing the number of additional toppings and y
representing the total price of the pizza. What is the cost of a large pizza with 3 toppings?(1 point)
$
9 answers
To find the cost of a large pizza with 3 toppings, we can use the given equation:
\[ y = 11 + 1.5x \]
where \( x \) is the number of additional toppings. Here, \( x = 3 \) for 3 toppings.
Now, substitute \( x \) into the equation:
\[ y = 11 + 1.5(3) \]
Calculating the value:
\[ y = 11 + 4.5 \] \[ y = 15.5 \]
Therefore, the cost of a large pizza with 3 toppings is $15.50.
To determine which point lies on the graph of the function \( y = (2x + 1)^2 - 4 \), we need to evaluate the function for each \( x \) value given in the options and see if the corresponding \( y \) value matches.
Point (0, -2): \[ y = (2(0) + 1)^2 - 4 = (1)^2 - 4 = 1 - 4 = -3 \] The point is \( (0, -3) \) which is not \( (0, -2) \).
Point (-1, -5): \[ y = (2(-1) + 1)^2 - 4 = (-2 + 1)^2 - 4 = (-1)^2 - 4 = 1 - 4 = -3 \] The point is \( (-1, -3) \) which is not \( (-1, -5) \).
Point (-1, -3): \[ y = (2(-1) + 1)^2 - 4 = (-2 + 1)^2 - 4 = (-1)^2 - 4 = 1 - 4 = -3 \] This point is indeed \( (-1, -3) \).
Point (1, 2): \[ y = (2(1) + 1)^2 - 4 = (2 + 1)^2 - 4 = (3)^2 - 4 = 9 - 4 = 5 \] The point is \( (1, 5) \) which is not \( (1, 2) \).
Based on the calculations, the only point that lies on the graph of the function \( y = (2x + 1)^2 - 4 \) is:
(-1, -3).
To determine the correct pair of quantities from the given options based on the context of a graph, we would typically look at the axes of the graph and the variables that are being represented. However, since the graph itself is not provided, I will outline the likely scenarios for each choice:
The two quantities are the x-values and the y-values.
The two quantities are the average rainfall in inches and the years.
The two quantities are the average rainfall in inches and the month of the year.
The two quantities are inches and months of the year.
Without the graph for reference, it’s hard to definitively pick the correct answer, but if the graph is certainly depicting rainfall over time, either the second or third option might fit best, depending on whether the focus is on yearly trends or monthly averages. If it is monthly data, then the third option is the most precise:
The two quantities are the average rainfall in inches and the month of the year.
If you know that the graph depicts average rainfall for specific years, then the second option would be appropriate.
To accurately assess the average rainfall from June to December using the graph, we would typically analyze the trends shown in that specific time frame. Since I do not have access to the graph itself, I cannot provide precise observations. However, I can guide you on how to analyze the graph based on common rainfall trends during those months.
If the graph reveals a downward trend:
If the graph shows an upward trend:
If the graph shows no significant change between June and December:
If there is an initial increase followed by a decrease (or vice versa):
To make a correct choice, observe the trends on the graph for the months of June through December and select the statement that best describes what you see.
To find the correct mathematical equation that represents Victoria's weekly pay based on her flat rate and hourly wage, we start by noting her payment structure:
Let \( y \) represent the total amount she gets paid per week, and \( x \) represent the number of hours she works.
The total pay can be represented as:
\[ y = \text{flat rate} + (\text{hourly rate} \times \text{number of hours}) \] This can be expressed as:
\[ y = 100 + 20x \]
Thus, the correct mathematical equation that explains the function is:
y = 100 + 20x
So, the correct response is:
y = 100 + 20x.
