Your Math Algebra Drop Off Help Question
Session details:
- Subject: Math Algebra Drop Off Help
- Submitted on: 1/21/2018 10:02:51 PM
- Tutor: Sanatan K
- Review time: 41.9 minute(s)
Your question:
Hello,
please help me solve the following step by step.
Attached file: https://LHH.Tutor.com/SharedSessionFiles/ba8c2aac-e6f7-4abb-9710-63c34e148ebb_IMG_4262.jpg
Your question, as rephrased by your tutor:
We're looking to find all the zero's of the f(x) meaning we're looking for all the values of x that would make this equation equal zero.
Your Solution:
Step 1:
Here we have been given the initiation cost and charges per month for the two health club. So here we can use y=mx+b formula. Where 'm' is the slope and 'b' is y-intercept. So in each case here the initiation fee is the value of 'b' which is fixed, and the slope is "monthly charges". So we get both the equation where h(x) represents Sports House and g(x) represents Fitness First.
Step 2:
To draw the graph of the two lines here we need at least two points on each line. So lets make a table for both the equation. You can chose any value for 'x' and find the corresponding 'y' values. since we have 10,20,30,40...and so on is on the given x-axis so we chose x-values from these only. Now we have to plot these points and draw the graph.
Step 3:
lBoth graphs intersects each other at point (30,800). That means after 30 months both clubs will cost $800 each. And Before 30 months the Sports House is a better deal than Fitness first because the cost is lesser in Sports house from 0 to 30 months.
Step 4:
So algebraically also we can see that the cost of both the clubs is same for the value of x=30 (months). In part (f) of the question, it says, do your answers of part (c) and (e) matches, so our answer is Yes, because in both of them we get the point as (30,800) which means at x=30 we get y=800.
