26.563 miles
Add all of them up and it equals the total of how many miles they ran together
If we would have assigned a different value for x, the equation would have given us another value for y. We could instead have assigned a value for y and solved the equation to find the matching value of x.
In our equation y=x+7, we have two variables, x and y. The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable. In our example above, x is the independent variable and y is the dependent variable.
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.
It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
#12:
p= 2.8y+2.2y+2x+5x+4x
p= 5y+11x
#14:
p= 2h+2h+4j+4j+4j+4j
p= 4h+16j
because y^3 is raised to the power of two, we will have to multiply the exponents rather than adding them.
By distributing the power of 2, we will get y^2(6).
Because now the exponents are being multiplied, we can just add them to get y^8. The other y has a power of 1, so we'll just add the power of that y as well to get y^9.
summary:
multiply exponents if they are being raised to a power.
add exponents if they are being multiplied, and only add them if they have the same base (in this case, both the bases of the exponents are y, so we can add them)
