A system of two equations contains one quadratic equation and one linear equation. the quadratic system of the equation is y=x^2
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The number of calories per ounce of soda is 10
<h3>Part A: Represent the relationship between the number of calories and the number of ounces</h3>The given parameters are:
Calories = 50
Ounces = 5
Let the number of calories be y and the ounces be x.
So, we have:
y = kx
Substitute y = 50 and x = 5
50 = 5k
Divide by 5
k = 10
Substitute k = 10 in y = kx
y = 10x
See attachment for the graph of the relationship between the number of calories and the number of ounces
<h3>Part B: What is the number of calories per ounce of soda?</h3>In (a), we have:
k = 10
This means that the number of calories per ounce of soda is 10
<h3>Part C: How does the unit rate relate to the slope of the line in the graph above? </h3>The unit rate and the slope represent the same and they have the same value
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