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The table shows the amount a restaurant is donating to a local school based on various dinner bills. Is the amount of donation proportional to the dinner bill? If so, what would be the donation for a dinner bill of $50? If not, explain.

Sagot :

The ratio of the donation to the bill in a table from a similar question is constant, which gives;

  • The amount donated is proportional to the dinner bill

  • If the dinner bill is $50, the amount donated will be $9

How can a professional relationship between the variables be established?

The possible values in the table as obtained from a similar question are as follows;

Dinner Bill ($) Donation ($)

25 4.50

30 5.40

35 6.30

40 7.20

Let B represent the dinner bill, and let D represent the donation.

The amount of donation is proportional to the dinner bill if each corresponding value of D/B is constant.

Checking gives;

4.5/25 = 5.4/30 = 6.3/35 = 7.2/40 = 9/50

Which gives;

D/B = 9/50

  • D = 9/50 × B

Therefore

  • The amount donated is proportional to the dinner bill

If the dinner bill is $50, we have;

B = 50

Which gives;

D = 9/50 × 50 = 9

  • The amount donated will be, D = $9

Learn more about proportional relationships here:

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