The price of a mountain bike is $50 more than a road bike. If 4 road bikes and 3 mountian bikes coat $4700. Find the price of a road bike and a mountain bike.

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Step-by-step explanation:

If r is the cost of a road bike, then the cost of a mountain bike is r+50. The total cost of the 7 bicycles is ...

  4r +3(r+50) = 4700

  7r +150 = 4700 . . . . . . eliminate parentheses

  7r = 4550 . . . . . . . . . . . subtract 150

  r = 650 . . . . . . . . . . . . . divide by 7; price of a road bike

  r+50 = 700 . . . . price of a mountain bike

The price of a road bike is $650; the price of a mountain bike is $700.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.