<span>The answer to this question would be: 5 days
In this question, there are two kinds of rent pricing and you are asked to find the number of days when both of them will charge the same price.
From the description, you can get an equation of each price which would look like this(x=number of day rent):
cost1= 110 + 46x
cost2= 70 + 54x
Then, the days when the price same would be:
cost1 = cost2
</span>110 + 46x= 70+54x
110-70= 54x - 46x
40= 8x
x=5
Equation in point slope form is written as:
y = mx + c, where m is the slope of the line and c is the y-intercept
To determine the equation when slope is given and (x,y) coordinates are given, use the below formula:
(y - y₁) = m × (x - x₁) .................. (i)
We have been given that m = 3, x₁ = 2 and y₁ = 1)
Substituting the values of m, x₁ and y₁ in (i)
(y - 1) = 3 × (x-2)
⇒ y - 1 = 3x - 6
⇒ y = 3x - 5
So the required equation is y = 3x -5, here 3 is the slope and -5 is the y-intercept
The equation of the line passes through (2, -1) and (4, 5) is -3x + y = - 7 So, option 2 is correct.
<u>Solution:</u>
Given, two points are (2, -1) and (4, 5)
We have to find that a line that passes through the given two points.
First let us find the slope of the line that passes through given two points.
So, slope of line "m" is given as:
So slope of our line = 
Now, let us find the line equation using point slope form:
Then equation of line is,
y – 5 = 3(x – 4)
y – 5 = 3x – 12
-3x + y = 5 – 12
-3x + y = -7
Hence, the line equation is -3x + y = - 7 so, option 2 is correct.
11.11
<span>5/45 = x/100 (reduce fraction to lowest terms to make it easier to work with)
1/9 =x/100
.1111 = x/100
.1111x100 = x
11.11 = x
</span>
Answer:
154
Step-by-step explanation:
