Determine the relationship described in each table.

For the first table, the y-values are not equally spaced and the ratios of y are not the same, but by plotting them and observing the graph that results, it looks like the points lie on an exponential curve. The second table is linear because when x changes by 1, y changes by 4. The third table is a quadratic model because even if the first differences of y are not the same, the second differences of y have the same value of 8. The fourth table is exponential because the ratio of y-values is 2, which is the same between each set of numbers. 

As a little tip that's helped me personally when I was taking algebra, making equations for word problems feels a lot easier when you "translate" equations you make into words to make sure that you're using the right equation.

Let's boil down what the question tells us. 5/6 of the price tag of a bike from Store B is the price of a bike from Store A, which is $150.60. Let's use the variable 'b' to represent the price of Store B's bike.

* b = 150.60

Try "translating" the equation above. "5/6 of the price of a Store B bike is equal to 150.60." That seems about right, doesn't it? Let's isolate 'b' so we can get an official answer.

Multiply both sides by 6 to get rid of the denominator:

* 6 = 150.60 * 6

5b = 903.6

Divide both sides by 5 to get rid of b's coefficient:

=

b = 180.72

The price of a bike from Store B is $180.72

If you need any help on anything I just did here, don't be afraid to ask. Good luck on your Algebra endeavors!

- breezyツ