Tables or relations I am not sure but I need help?The question has the following data in a table, then it gives some equations. My question is, do I substitute the x & y values to get answer or...

Tables or relations I am not sure but I need help?

The question has the following data in a table, then it gives some equations. My question is, do I substitute the x & y values to get answer or do I plot the data points and then find the y intercepts?

1. 59
2. 123.
3. 187.
4. 251.

The table above shows the end of the month balance in a checking account. Select the equation that models the data.

y=64x-5
y=64x+5
Y=65x+5
y=65x-5

Asked on by lowside

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Top Answer

krishna-agrawala's profile pic

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

The first table in the question lists four different numbers, each preceded by a serial number. The explanation given following this table implies that the serial number is the number of month, and the number following the serial number is the balance in checking account is at the end of the corresponding month.

Following this table four alternative equations are listed, and our task is to select the equation that correctly represents the data given.

If we assume that:

x = Number of month

y = balance in checking account is at the end of the month

And calculate the value of y based on the four equations given in table, we get the following values.

Equation: y = 64x - 5

For x = 1, y = 59

For x = 2, y = 123

For x = 3, y = 187

For x = 4, y = 251

Equation: y = 64x + 5

For x = 1, y = 69

For x = 2, y = 133

For x = 3, y = 197

For x = 4, y = 261

Equation: Y= 65x + 5

For x = 1, y = 70

For x = 2, y = 135

For x = 3, y = 200

For x = 4, y = 265

Equation: y = 65x - 5

For x = 1, y = 60

For x = 2, y = 125

For x = 3, y = 190

For x = 4, y = 255

By comparing values of x and y obtained by four equations with first table, we see that the first equation, that is, y = 64x - 5, is correct.

eagelsfan15's profile pic

eagelsfan15 | Middle School Teacher | eNotes Newbie

Posted on

As it looks, the numbers in the x column are 1, 2, 3, 4 and the numbers in the y column are 59, 123, 187, and 251.  If you are just given this table and equations, then I would substitute an x value into each equation to find a true solution.  If one works, try another of the table's x values just to be sure.  Like this:

y = 64x - 5  Let's try 1,59

59 = 64*1 - 5

59 = 64 - 5

59 = 59 so this works.  Let's use another ordered pair from the table just to be sure.

 

Let's use 3, 187

y = 64x - 5

187 = 64 * 3 - 5

187 = 192 - 5

187 = 187 so this works also.

 

The correct equation is y = 64x - 5.

 

Should the first equation not work for you, move on to the next equation and complete the same process until you confirm which equation is true.

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