Does the equation y = x/2 represent a proportional relationship?
Yes, because its graph is a line that passes through the origin
No, because its graph does not pass through the origin
Yes, because the coefficient of x is positive
No, because it is not in the form y = kx
No, because it is not in the form y = kx.
What is the value of k?
-3 (k + 7) - 5k + 4 = 23
To solve the equation, we can simplify and solve for k.
-3(k + 7) - 5k + 4 = 23
Multiplying -3 by each term inside the parentheses:
-3k - 21 - 5k + 4 = 23
Combining like terms:
-8k - 17 = 23
Adding 17 to both sides:
-8k = 40
Dividing both sides by -8:
k = -5
Therefore, the value of k is -5.
The costs of different weights of onions sold at a grocery store are shown in the table below. What are the independent and dependent variables in this situation?
Cost for Onions
Weight of Onions (Pounds)
Total Cost 0.48 1.04 2.00 2.96
Weight of onions 0.6 1.3 2.5 3.7
Click the arrows to choose an answer from each menu.
The independent variable in the situation is the ?. The dependent variable is the ?
The independent variable in the situation is the weight of onions (pounds). The dependent variable is the total cost.
Wrong. You gotta choose from the drop down options for the ?’s. The drop down options are weight of onions purchased or total cost of the onions purchased or cost per pound for onions. It’s the same for the both of them btw
I apologize for not providing the correct options. In this situation, the independent variable is the weight of onions purchased and the dependent variable is the total cost of the onions purchased.
Twista is a rap artist who once held the world record for the fastest rap. The equation
598x = 55y can be used to model the number of syllables he could rap, y, in x seconds.
If y is proportional to x, what is the constant of proportionality between y and x, expressed as a fraction?
To determine the constant of proportionality between y and x, you need to rewrite the equation in the form y = kx, where k is the constant of proportionality.
Starting with the equation 598x = 55y, divide both sides by 55 to isolate y:
598x/55 = y
Now the equation is in the form y = kx, with k being 598/55. Thus, the constant of proportionality between y and x is 598/55 as a fraction.
Dakila and his dad made lechon, Filipino slow-roasted pork, over an open fire for a family gathering. They put the lechon on a platter and then served 6-ounce servings each of 8 people. What does the product of -6 and 8 represent in this context?
the change in the amount of lechon, in ounces, on the platter
the amount of lechon, in ounces, left on the platter
the number of servings of lechon left on the platter
the change in the number of servings of lechon on the platter