If y=mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?A. 1/3B. 3C. 8D. 16
1 answer:
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Answer:
Option C.The decrease in the value of the motorcycle, which is 9%
Step-by-step explanation:
we have a exponential function of the form
where
a is the initial value
b represents growth or decay factor
If b >1 then it is an exponential growth
if 0<b<1 then it is an exponential decay
In this problem
a=$19,000
b=0.91 -----> it is exponential decay factor
Find the rate of decrease r
b=(1-r)
substitute
0.91=1-r
r=1-0.91=0.09
Convert to percentage
0.09*100=9%
therefore
0.91 represent the decrease in the value of the motorcycle, which is 9%
Answer/Step-by-step explanation:
a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as , where,
m = slope, and (a, b) is a point on the line.
Using two points, (6, 12) and (3, 21), let's find slope, m.
Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in .
✅Equation in point-slope form would be:
Rewrite this to make it be in the slope-intercept form, .
Add 12 to both sides
✅The equation in slope-intercept form is
b. ✍️Based on the linear model, , the 30 represents b = y-intercept.
✅Therefore, it took Peter 30 mins long initially to deliver his package.
✍️Based on the linear model, , "-3" represents the slope.
✅Therefore, Peter's delivery time decreased 3 mins per day.