Question

The graph shows the amount of money you and a friend are saving for a camping trip. You: 2 weeks 40 dollars. 5 weeks 100 dollars
Friend: 4 weeks 60 dollars. 8 weeks 120 dollars.
A) Compare the steepness of the lines. What does this mean in the context of the problem.
B) Find the slope of each line.
C) How much more money does your friend save each week than you?
D) The camping trip costs $165. How long well it take you to save enough money
I need this by tonight

Answer 1

Answer:

A)  Your friend’s graph is steeper than yours. So, your friend’s saving rate (in dollars per week) is greater than yours.

B)The slope of your line is 15/1 so the rate is $15 per week

The slope of your friend's line is 20/1 so the rate is $20 per week

C) Friend saves $5 more than you

D) 165/15=11

Step-by-step explanation:

A) It was a multiple choice question with an endless amount of checks on big Ideas

B) First the answer would be (4,60) which is you and your friend would be (3,60)

Then divide that by the X axis

Example: 4/4=1 and 60/4=15, 3/3=1 and 60/3= 20

C) Just subtract 20 and 15 which is just yours and your friends pay per week

D) It says YOU so you take that $15 per week and then divided by the given number 165, which gives you 11 weeks

Answer 2

We want to compare two linear equations and answer some things in regards to these.

• A) Your line should be steeper.
• B) your slope is $20 per week, your friend slope is $15 per week.
• C) Your friend wins $5 less than you per week.
• D) You must save for 9 weeks, your friend for 11 weeks.

So we have two sets of data:

• you: (2 weeks, $40), (5 weeks, $100)
• friend: (4 weeks, $60), (8 weeks, $120)

A) First we want to compare the steepness of the lines, it will represent how much money you and your friend gets per week, a more steep line means a larger weekly income.

By the given points, you can see that you have an increase of $60 in 3 weeks, while your friend has an increase of $60 in 4 weeks, thus, your line should be steeper.

B)  We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) the slope is given by:

$s = \frac{y_2 - y_1}{x_2 - x_1}$

So, for you, the slope is:

$s_y = \frac{\ 100 - \ 40}{5 weeks - 2 weeks} = \ 20\ per \ week$

For your friend the slope is:

$s_f = \frac{\ 120 - \ 60}{8 weeks - 4 weeks} = \ 15 \ per \ week$

C) Your friend saves $5 less than you per week.

D) You, by week 5, have $100

So you need to save another $65

And you save $20 per week, so we need to solve:

$20*x = $65

x = $65/$20 = 3.25

Rounding to the next whole number, x = 4

And this is 4 weeks after the 5th week, so you need to save for a total of 9 weeks.

For your friend, he has $120 at the 8th week, then he must save another $45, and he saves $15 per week, so we need to solve:

$15*x = $45

x = $45/$15 = 3

He must save for another 3 weeks, for a total of 11 weeks.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/11897796