Answer:
<em>The scale factor is 1:125</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which consists of multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.
On a scale drawing, a distance of 5 meters = 500 cm is represented by 4 centimeters. The scale factor is usually represented as a ratio of the smallest to the biggest magnitude:

The scale factor is 1:125
Answer: D. y = 3x − 1
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the graph,
y2 = 2
y1 = - 1
x2 = 1
x1 = 0
Slope,m = (2 - - 1)/(1 - 0) = 3/1 = 3
To determine the intercept, we would substitute x = 1, y = 2 and m= 3 into y = mx + c
y = mx + c. It becomes
2 = 3 × 1 + c = 3 + c
c = 2 - 3 = - 1
The equation becomes
y = 3x - 1
Answer:
16 years
Step-by-step explanation:
Given data
For the first tree
let the expression for the height be
y=4+x--------------1
where y= the total height
4= the initial height
x= the number of years
For the second tree, the expression is
y=12+0.5x-------------2
Equate 1 and 2
4+x=12+0.5x
x-0.5x=12-4
0.5x= 8
x= 8/0.5
x=16
Hence it will take 16 years for both trees to have the same height
Answer:
Function 2 is linear
Step-by-step explanation:
It is linear because all of the numbers that in x roc is 1 and y is -4
Find the slope between the 2 points and plug inotllto point slope form