Which equation represents a linear function

Mathematics

1 answer:

zepelin [54]3 years ago

8 0

Answer:

Option B) y=-3x+10 is correct

The equation y=-3x+10 represnts a linear function.

Step-by-step explanation:

To verify that which equation represents a linear function:

Given y=-3x+10

Linear functions are functions whose graph is a straight line. A linear function can be written as y=f(x)=a+bx where x is the independent variable and y is the dependent variable.It has only one independent and dependent variables.

It can be written as y=10-3x

Given equation is also in the form of linear function where a=10 and b=-3

Therefore Option B) y=-3x+10 is correct

The equation y=-3x+10 represnts a linear function.

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Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due

ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

Formula : d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

Formula : D= $\sqrt{(x2-x1)^2+(y2-y1)^2}$