Question
acme removes charges $100 plus $30 per hour for an across town move. Hanks movers charges $55 per hour. for what lengths of time does it cost less to hire hanks movers
121
likes605 views
Answer to a math question acme removes charges $100 plus $30 per hour for an across town move. Hanks movers charges $55 per hour. for what lengths of time does it cost less to hire hanks movers
Hermann
4.6126 Answers
1. Write the cost function for Acme's service:
C(t) = 100 + 30t
2. Write the cost function for Hank's Movers:
H(t) = 55t
3. Set up the inequality \( 55t < 100 + 30t \).
4. Subtract \( 30t \) from both sides to isolate \( t \):
55t - 30t < 100
25t < 100
5. Solve for \( t \) by dividing both sides by 25:
t < 4
So, it costs less to hire Hank's Movers for lengths of time \( t < 4 \) hours.
2. Write the cost function for Hank's Movers:
3. Set up the inequality \( 55t < 100 + 30t \).
4. Subtract \( 30t \) from both sides to isolate \( t \):
5. Solve for \( t \) by dividing both sides by 25:
So, it costs less to hire Hank's Movers for lengths of time \( t < 4 \) hours.
Frequently asked questions (FAQs)
Find the derivative of f(x) = (x^4 + x^2) * (x^3 - x), using the chain rule. (
+
Find the vertex of the quadratic function f(x) = -2x^2 + 5x + 3.
+
Question: Graph the logarithmic function f(x) = log₂(x - 3), and find the x-intercept and y-intercept. (
+
New questions in Mathematics