Question

The table shows prices of ladders of different heights.

What equation can be used to find the cost of the ladder based on its height?
A. y = 5x
B. y = 17.50x
C. y = 87.50x
D. y = 437.50x

Answer 1

B. y=17.50x

Explanation:

what I would do is plot these points on a graph and then find the equation from there. Desmos is a great graphing calculator you could use for these kinds of problems

Answer 2

B. y = 17.50x

Explanation:

To find the right expression we need to find the ratio of change of the given values showed in the table.

To find the ratio of change, we just need to divide each pair

`(\$ 87.50)/(5)=17.50`

`(\$ 157.50)/(9)=17.50`

`(\$210)/(12)=17.50`

As you can observe, the ratio of the relation is 17.50. We know that the ratio of change is the coefficient of the independent variable

`y=rx`

Replacing values, we have

`y=17.50x`

Therefore, the right answer is B.