Solve pls brainliest
2 answers:
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Answer:
a.
b Slope: or
Step-by-step explanation:
The equation of a line that passes through the origin is:
Where "m" is the slope of the line.
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
Then, you can conclude that:
a. Let be "d" the distance in miles that the train travels per gallon.
You can observe in the graph that when the train travels 10 miles, it uses 100 gallons. Then, you can set up the following proportion:
Solving for "x", you get:
Then, it travels 0.1 miles per gallon.
b. The slope is also or
. To check this, you can subsitute the coordinates of the point (100,10) into
and solve for "m" in order to find its value.
This is:
Let's start out by tripling the original recipe to see how much butter Angie needs.
So we need
cups of butter, but Angie only has 
. Let's subtract what Angie has from the total to see how much more she needs.
we will need the least common denominator for both fractions
So Angie need
cups more of butter for the recipe.
So we need
we will need the least common denominator for both fractions
So Angie need