The basketball gym at Dustin's school was built in the 1940s and needs a lot of repairs. So, the school is asking families for donations to build a new gym. Dustin convinced some local businesses to match a fraction of the families' donations. There is a proportional relationship between the amount of money a family donates (in dollars), x, and the matching contribution (in dollars) from local businesses, y. When a family donates $12, the businesses contribute $9. Write the equation for the relationship between x and y.

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Adetunmbiadekunle Adetunmbiadekunle · Answer 1 · 2020-10-20T19:16:03+02:00

Answer:

The equation representing the relationship between x and y is that;

4y = 3x

Step-by-step explanation:

Here, we want to write a relationship.

From the question, we are told that the amount donated by the family which is x dollars is proportional to what local businesses gave.

From the question, there was an example in which a family gave $12 and local businesses gave $9

So let us establish a relationship using ratio of x to y

Thus;

12/9 = x/y

12y = 9x

4y = 3x