Marisol is organizing a party for the student council with a $50 budget The linear function 15x + 2y = 50 represents the number of pizzas and the number of bottled drinks y she can buy drinks can she buy?
and .... ??
0 pizzas and 25 drinks
I would go for 2 pizzas and 4 drinks
To find the number of bottled drinks Marisol can buy, we need to find the value of y in the given linear function.
The linear function given is 15x + 2y = 50, where x represents the number of pizzas and y represents the number of bottled drinks.
We can rearrange the equation to solve for y:
2y = 50 - 15x
Divide both sides of the equation by 2:
y = (50 - 15x) / 2
Now we can substitute different values of x to find corresponding values of y.
Let's take a few values of x and calculate y:
When x = 0:
y = (50 - 15(0)) / 2
y = 50 / 2
y = 25
So, if Marisol buys 0 pizzas (x = 0), she can buy 25 bottled drinks (y = 25).
When x = 5:
y = (50 - 15(5)) / 2
y = (50 - 75) / 2
y = -25 / 2
y = -12.5
Since we can't have a negative number of drinks, we disregard this solution.
When x = 10:
y = (50 - 15(10)) / 2
y = (50 - 150) / 2
y = -100 / 2
y = -50
Again, we disregard this negative solution.
Based on these calculations, it seems that Marisol can only buy 25 bottled drinks within her $50 budget.
Therefore, Marisol can buy 25 bottled drinks for the student council party.