Question

Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days.

Part B: Write the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals

Answer 1

@TheSmartOne

Answer 2

@jim_thompson5910

Answer 3

@zepdrix

Answer 4

@11study11 how far did you get?

Answer 5

or were you not able to get started?

Answer 6

Part A:
y = 85x + 55
Part B:
f(x)= 85x + 55 @jim_thompson5910

Answer 7

ok make sure you show your steps to your teacher. You have the correct result for part A

Answer 8

also for part B as well

Answer 9

so you're stuck on how to graph?

Answer 10

yes

Answer 11

are you able to identify the slope and y intercept?

Answer 12

slope= 85 y intercept=55

Answer 13

good, so your first point will be (0,55)

basically at 55 on the y axis

Answer 14

the next point will be found by going up 85 units, then over to the right 1 to land on the point (1,140)

Notice this is the same if you plugged in x = 1 into y = 85x+55

y = 85*x + 55
y = 85*1 + 55
y = 140

Answer 15

Plot the two points (0,55) and (1,140). Then draw a straight line through them

Answer 16

ok

Answer 17

now what

Answer 18

once you draw the line through those two points, you're done with the graph

Answer 19

don't forget to `Mention the labels on the axes and the intervals`

Answer 20

I don't think you actually have to graph. It just says to describe how to graph. It seems like your teacher doesn't want the actual graph. However, it's still good practice.

Answer 21

how would i write that?

Answer 22

Like I wrote out, but in your own words of course.

Answer 23

for part b how would i explain that

Answer 24

you would simply replace the 'y' with f(x). So there's not much to part B. Much of the work is done in part A

Answer 25

ok thanks

Answer 26

Part A:
225 = 2a + b
480 = 5a + b
y = 85x + 55
Part B:
f(x)= 85x + 55
Part C:
y = 85x + 55
y = 85*1 + 55
y = 140
Plot the two points (0,55) and (1,140).

Answer 27

is it all correct?

Answer 28

It's not clear how you jumped from this
```
225 = 2a + b
480 = 5a + b
```
to this
`y = 85x + 55`

Answer 29

hmm don't know what I did there.

Answer 30

how did you get 85? did you use the slope formula?

Answer 31

yup

Answer 32

ok so show that to your teacher instead of
```
225 = 2a + b
480 = 5a + b
```

Answer 33

wait..

Answer 34

I'm confused.

Answer 35

use the slope formula
m = (y2-y1)/(x2-x1)

Answer 36

(x1,y1) = (2,225)
(x2,y2) = (5,480)


m = (y2-y1)/(x2-x1)
m = (480-225)/(5-2)
m = (255)/(3)
m = 85

which is what I'm assuming what you did but didn't write it in this exact form

Answer 37

OK
Thanks!!!

Answer 38

No problem. Also, show how you got (0,55). So you can mention it's the y intercept or plug in x = 0 like you plugged in x = 1.

Answer 39

ok