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Stolb23 [73]
3 years ago
11

A

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer:

Step-by-step explanation:

d = r * t

Let the rate of the boat in still water = x

Let the rate of the stream = y

Against the current

24 = (x - y)* 4                Divide both sides by 4

24/4 = x - y

6 = x - y

With the current

24 = (x + y )* 3                Divide both sides by 3

24/3 = (x + y)

8 = x + y

Put the two equations together

x - y = 6

<u>x + y = 8</u>                           Add

2x = 14                              Divide by 2

2x/2 = 14/2

x = 7

x + y = 8

7 + y = 8

y = 8 - 7

y = 1

The boat is going 7 miles per hour

The stream is going 1 mile per hour.

 

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Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct
expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}

Function B:

y = -4.5x + 15

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1,y_1) = (1.5,5)

(x_2,y_2) = (2.5,0)

So, we have:

m = \frac{0-5}{2.5 - 1.5}

m = \frac{-5}{1}

m = -5

For function B

The general function is:

y = mx + b

Where

m is the rate of change

By comparing y = mx + b to y = -4.5x + 15

m = -4.5

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

4 0
3 years ago
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