What is the slope of the line shown below? A. 2/3 B. -3/2 C. 3/2 D. -2/3

Mathematics

2 answers:

nydimaria [60]3 years ago

8 0

Answer:

Step-by-step explanation:

slope is given by the formula:

$\frac{y_2-y_1}{x_2-x_1}$

We need 2 points to find a line's slope.

The first point is (-3,-7) hence x_1 = -3 & y_1 = -7.
The second point is (9,1) hence x_2 = 9 & y_2 = 1.

Plugging these into the slope formula, we will get the slope:

$\frac{1--7}{9--3}\\=\frac{1+7}{9+3}\\=\frac{8}{12}\\=\frac{2}{3}$

correct answer is A

elena55 [62]3 years ago

7 0

Answer:

Step-by-step explanation:

The line passes through the points (-3,-7) and (9,1).

The slope of the line can be calculted using formula

$\dfrac{y_2-y_1}{x_2-x_1}.$

Thus, the slope of the given line is

$\dfrac{1-(-7)}{9-(-3)}=\dfrac{8}{12}=\dfrac{2}{3}.$

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A computer purchased for $1,050 loses 19% of its value every year.

ryzh [129]

Answer:

A) a = 1050 and b = 0.81

B) 3.3

Step-by-step explanation:

Original price of the computer = $ 1050

Rate of decrease in price = r = 19%

This means, every year the price of the computer will be 19% lesser than the previous year. In other words we can say that after a year, the price of the computer will be 81% of the price of the previous year.

Part A)

The exponential model is:

$v(t)=a(b)^{t}$

Here, a indicates the original price of the computer i.e. the price at time t = 0. So for the given case the value of a will be 1050

b represents the multiplicative rate of change i.e. the percentage that would be multiplied to the price of previous year to get the new price. For this case b would be 81% or 0.81

So, a = 1050 and b = 0.81

The exponential model would be:

$v(t)=1050(0.81)^{t}$