So, hmmm keeping in mind that, an absolute value expression is in effect a piece-wise function, let's find its "slopes", the negarive slope on the left-side and the positive slope on the right side, and let's use the vertex point as our first point
what is the slope of a line that passes through (2, -1) and (0,7)
now, what is the slope of a line that passes through (2, -1) and (4,7)
since an absolute value expression is just a piece-wise with a +/- versions, then we can just combine those two.
Answer:
5 pizzas and 17 sodas were bought
Step-by-step explanation:
Here, we want to get the number of pizza and sodas bought
Let n be the number of pizzas bought
we are told that the number of sodas bought was 2 more than 3 times the number of pizzas
So the number of sodas will be;
3n + 2
So let’s have the equations based on the prices;
pizzas cost $9.50, soda cost $1.25
Thus;
9.5n + 1.25(3n + 2) = 68.75
9.5n + 3.75n + 2.5 = 68.75
13.25n = 68.75 - 2.5
13.25n = 66.25
n = 66.25/13.25
n = 5
Number of pizzas bought is 5
number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17
No it's impossible one is adding one is subtracting but both multiply by 7