Question

The equation y = 16x + 560 describes the number of calories in a recipe, where y is the total number of calories and x is the number of teaspoons of sugar added. The table shows the number of calories in another recipe, where y is the total number of calories and x is the number of teaspoons of honey added.
How many calories are in a teaspoon of sugar, and how many are in a teaspoon of honey?

Teaspoons of honey 1 2 4 7
Total calories 504 568 696 888

How many calories does a teaspoon of sugar contain?
How many calories does a teaspoon of honey contain?

Answer 1

Given:
1st recipe
y = 16x + 560 
where x is the number of teaspoons of sugar ; y is the total number of calories

2nd recipe
tsps of honey       1    2      4      7
total calories     504 568   696   888

There are 16 calories in a teaspoon of sugar.

There are 64 calories in a teaspoon of honey.
568-504 / 2 - 1 = 64/1
696-568 / 4 - 2 = 128/2 = 64
888-696 / 7 - 4 = 192/3 = 64