A house on the market was valued at 389,000. After several years, the value decreased by 7%. By how much did the house value dec
1 answer:
You might be interested in
<u><em>Answer:</em></u>
a. The first car wash charges more for the basic fee
b. 6 extras must be chosen for the total cost to be the same
<u><em>Explanation:</em></u>
The complete question is shown in the attached diagram
<u>The general form of the linear equation is:</u>
y = mx + c where m is the slope and c is the y-intercept
The y-intercept represents the initial value which, in the given problem, is the basic fee
<u>For the first car wash, we are given the equation:</u>
y₁ = x + 9
<u>Now, we will start by getting the equation for the second car wash:</u>
<u>1- getting the slope:</u>
The equation now is: y = 1.5x+c
<u>2- getting the y-intercept:</u>
To get the y-intercept, we will simply choose a point, substitute with it in the equation from 1 and solve for c. I will use point (2,9)
y = 1.5 x + c
9 = 1.5 (2) + c ............> c = 6
<u>The equation for the second car wash is:</u>
y₂ = 1.5x + 6
<u>Part 1:</u>
As mentioned above, the y-intercept represents the basic fee
<u>For the first car wash:</u>
y₁ = x + 9 ................> The basic fee is $9
<u>For the second car wash:</u>
y₂ = 1.5x + 6 ..............> The basic fee is $6
It is clear that the basic fee for the first car wash charges more for the basic fee
<u>Part 2:</u>
In both equations, x represents the number of extras. We want the total cost to be the same. So, we will simply equate y₁ and y₂ and solve for x
x + 9 = 1.5x + 6
1.5x - x = 9 - 6
0.5x = 3
x = 6
<u>Let's verify:</u>
<u>For x = 6:</u>
y₁ = x + 9 = 6 + 9 = $15
y₂ = 1.5x + 6 = 1.5(6) + 6 = $15
Total cost is the same. This means that 6 extras must be chosen for the total cost to be the same
Hope this helps :)
Problem 10
You are correct. The answer is choice C. The cm^3 notation represents cubic centimeters, which is a unit for volume. Think of a 1 cm by 1 cm by 1 cm cube.
======================================================
Problem 11
This problem is a bit strange. She borrows money ($100) but then it says she earns $300 per day. It makes no mention of her paying that $100 back, or when it's due back. I'll just assume that she keeps the $100 for the 12 days.
If that assumption is correct, then she'll have y = 300x+100 dollars after x days.
Plug in x = 0 and you'll get y = 100. Plug in x = 12 and you'll end up with y = 3700. Therefore, the two points on this graph are (0,100) and (12,3700).
The only window that has y = 3700 in it is the interval while the other windows are too small. So only choice D is the answer here. In other words, you'll have "yes" on choice D, and "no" on everything else.