Answer:
y = 1/4x
Step-by-step explanation:
y = amount of cubic feet = 15 cubic feet
x = time taken = 60 seconds
y = kx
Where,
k = constant of proportionality
y = kx
15 = k * 60
k = 15/60
k = 1/4
The equation
y = kx
Where
k = 1/4
Becomes,
y = 1/4x
So in these problems, we're dealing with absolute value. Absolute value is the real amount of the number, or it's real place value without a negative sign.
Part A: if the absolute value of X was 17, then X could equal -17 or 17.
Part B: |x+9|=15. We know that 6+9=15, so X could equal -6 or 6.
Part C: |x-10| ≤ 13. We know that 23-10 is 13. So 23 would be the greatest value of X. Then, for the smallest value of X, if we insert -3 in the equation to take the place of the variable, we get |-3-10|=13. So -3 would be the smallest value of the equation. X≤ 23 and X≥-3.
Answer:
The cost of the uber is a $6 flat rate plus $1.25 per mile.
Then if you take an uber for x miles, the cost will be:
c(x) = $1.25*x + $6
Now, in this case Kayla also wants to add a tip of $4, then the total cost will be:
c(x) = $1.25*x + $6 + $4 = $1.25*x + $10
And we have the restriction that Kalya can't spend more than $27.50
Then the cost must be equal or smaller than $27.50, we can write this as:
c(x) ≤ $27.50
$1.25*x + $10 ≤ $27.50
Whit the above equation we can find the maximum value of x if we isolate x in one side of the inequality.
$1.25*x + $10 ≤ $27.50
$1.25*x ≤ $27.50 - $10
$1.25*x ≤ $17.50
x ≤ ($17.50/$1.50)
x ≤ 11.67
So the maximum number of miles that she can travel on that uber is 11.67 miles, but in this cases we only work with whole numbers, so we should round it to the next whole number that meets the condition, which is 11.
x = 11
The maximum number of miles that she can travel on that uber is 11 miles.
Anything inside a square foot can be multiplied together. In this case, it forms :
So, B is the correct answer.
Technically, that expression can be further simplifyed, but that is not required on this question, so you're all good!
