The correct answer is "His teacher advised it because he did not have time to tutor Euler privately." I just did the assignment and got it correct.
Answer: You will save $228 dollars after 12 weeks
Step-by-step explanation:
HOW TO:
* use slope intercept form
1) find the slope
slope = rise/run (rise divided by the run)
slope = -4/2
slope = -2
2) find the y-intercept (just the point where the line intersects the y-axis)
y-intercept is (0,-4)
3) use slope-intercept form:
y = mx + b (m stands for the slope, b stands for the y-intercept)
y= -2x + (-4)
y= -2x - 4
So your equation is y= -2x-4
The second number after the decimal is the hundredths place. To round to that place, you look at the number after it. In this case 6 is the hundredths place and 5 is the number after it. If the number after it is 5 or higher, the hundredths place number increases by 1, if it is less than 5 the hundredths place number doesn't change. So the answer is 8.47.
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
