Answer:
(a) The required equation is .
(b) The graph of given relation is shown below.
(c) and .
(d) She needs to work for 18 days.
Step-by-step explanation:
Let x be the number of days she can work and y is the number of days she can travel.
She can earn $90 each day. She expects each day of travel will cost her $150 and the laptop she hopes to buy costs $700.
Therefore the required equation is 90x-150y=700.
(b)
The given relation is
.... (1)
Rewrite the above equation in slope intercept form.
Divide both sides by 150.
It is a straight line with slope 3/5 and y-intercept (14)/3. The graph of given relation is shown below.
(c)
The relation is
Here, x is the number of days she can work and she can work a maximum of 40 days. So the domain of the function is
At x=0,
At x=40,
y is the number of days she can travel, so y cannot be negative.
The range of the relation is
(d)
We need to find the number of days she need to work if she plans to travel for 6 days.
Substitute y=6 in equation (1) to find the value of x.
Therefore she needs to work for 18 days.