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
Read more about linear graphs at:
brainly.com/question/4025726
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Answer:
Mai lives 384 miles away from the mountains
Step-by-step explanation:
Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.
We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.


We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.

Upon equating equation (1) and equation (2), we will get:






Upon substituting
in equation (1), we will get:

Therefore, Mai lives 384 miles away from the mountains.
Answer:
y = -(6+3x)/2
Step-by-step explanation:
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Answer:
3 1/6. Hope this helps :)
Answer:
∠ N = 41°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
6x + 1 + 3x - 10 + x + 19 = 180, simplifying
10x + 10 = 180 ( subtract 10 from both sides )
10x = 170 ( divide both sides by 10 )
x = 17
Thus
∠ N = 3x - 10 = 3(17) - 10 = 51 - 10 = 41°