SOLUTION: Your class is given a real-world scenario of a linear function in which the rate of change is - 3 and the initial value is - 10. You wrote the equation y=−3x+(−10) to rep

Algebra.Com
Question 1191870: Your class is given a real-world scenario of a linear function in which the rate of change is - 3 and the initial value is - 10. You wrote the equation y=−3x+(−10) to represent the function. Your classmate wrote y=−3x−10 . Who is correct? Justify your response.
Found 2 solutions by Theo, josgarithmetic:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
y = -3 + (-10) is equal to y = -3 - 10
they're both correct.
here's a reference on the rules for adding, subtracting, multiplying, dividing positive and negative numbers.
https://www.cuemath.com/questions/rules-for-adding-subtracting-multiplying-and-dividing-positive-and-negative-numbers/
while they are both correct, i think y = -3 - 10 might be more correct because it has been simplified further, but that's only if the answer was required to be simplified as far as it could.
since it was not specified that the answer need to be in simplest terms, they are both equally correct.
they will both give you the exact same answer.
here's a graph to show you that they are equivalent.

both equations draw the same line on the graph.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Same thing
Meaning of Subtraction

RELATED QUESTIONS

Create a real-world scenario that is modelled by a linear relationship that:  Is... (answered by MathLover1)
What is the difference in a linear equation and a linear function? What 'real world'... (answered by rapaljer)
Express the function f in the form f(x)=ax+b. The linear function g has a rate of change (answered by josgarithmetic)
This is a discussion question in my class. I have seen how a few other students have... (answered by stanbon)
Express the function f in the form f (x)=ax+b. The linear function f has rate of change 3 (answered by MathLover1)
I'm given a scenario describing that for the first ounce in First Class Mail the rate is... (answered by Mathtut)
Part 1: For the following system of equations, write your own real world scenario that... (answered by lenny460)
You are given the dollar value of a product in 2016 and the rate at which the value of... (answered by josgarithmetic)
You are given the dollar value of a product in 2016 and the rate at which the value of... (answered by josgarithmetic)