Which point is on the graph of a direct variation equation in which k=0.4? a. (4,10)b. (10,4)c. (0.04,10)d. (10,0.04)

B. (10,4)

Step-by-step explanation:

Let x be the independent variable and y represents the dependent variable in the graph,

∵Graph represents the direct variation,

⇒ y ∝ x

⇒ y = kx

Where, k is the proportionality constant.

Here, k = 0.4,

⇒ Equation that shows in the graph would be,

y = 0.4x

At (4, 10),

10 = 0.4(4) ( False ),

⇒ (4, 10) is not in the graph.

At (10, 4),

4 = 0.4(10) ( True )

⇒ (10, 4) is on the graph.

At (0.04, 10),

10 = 0.4(0.04) ( false )

⇒ (0.04, 10) is not on the graph.

At (10, 0.04),

0.04 = 0.4(10) ( false )

⇒ (10, 0.04) is not on the graph.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.