Question

X is partially constant and partly varies with y=3,x=11, and when y=4,x=14.

a. x=3y+2
b. x=4y−5
c. x=2y+5
d. x=3y−2

Answer 1

The relationship between x and y is correctly described by option (a) x = 3y + 2, which is identified by substituting the given values for y and verifying the corresponding x values match with the data points provided.

Step-by-step explanation:

The mathematics question is about finding a linear equation that describes the relationship between the variables x and y. Based on the given data points, when y = 3, x = 11, and when y = 4, x = 14, we can determine which of the given options accurately represents this relationship. To solve this, we are looking for a linear equation in the form of x = my + b, where m is the slope of the line and b is the y-intercept.

We can test each option by plugging in the given values for y and checking if we get the corresponding x value. Option (a) gives us x = 3y + 2. Testing the first point:

• If y = 3, then x = 3(3) + 2 = 11.
• If y = 4, then x = 3(4) + 2 = 14.

The values match, thereby confirming that option (a) is the correct equation that represents the relationship between x and y.