Answer:
B. 21x + 40 ≤ 124
Step-by-step Explanation:
Maximum amount budgeted = $124 (this means they can't spend more than this)
x = number of people
Cost per head = $21
Given that Mr Walter already spent $40, which is part of the money budgeted, the number of people that can go canoeing cam be expressed with the following inequality:
21x + 40 ≤ 124
(note: the amount total to be spent will either be equal to or greater than $124, because it's the maximum amount budgeted for spending).
Hey there!☺
In our first step, we will simplify both sides of the equation:
Now subtract 4 from both sides:
In our last step, we will divide both sides by -2:
x=-7/2 is your answer.
Hope this helps!☺
First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
