The equation y - 53.75 = 3.25 (x-15) represents the linear relationship between the cost of an order of widgets and the number of widgets ordered. choose the scenario that matches the equation. a manufacturer sells widgets for $3.25 each. they charge a flat shipping rate on all orders. an order of 15 widgets costs $53.75. a manufacturer sells widgets. they charge a flat shipping rate of $3.25 on all orders. an order of 15 widgets costs $53.75. a manufacturer sells widgets for $15 each. they charge a flat shipping rate of $3.25 on all orders. an order costs $53.75.

A

Step-by-step explanation:

short reference to what is above

A manufacturer sells widgets for $3.25 each

They charge a flat shipping rate on all orders. An order of 15 widgets costs $53.75

Step-by-step explanation:

we are given the linear relationship between the cost of an order of widgets and the number of widgets ordered

where

y is the cost of an order of widgets

x is the number of widgets ordered

now, we can compare it with point slope form of line

we can find m ,x1,y1

we know that slope is rate of change

so, we get

charge of one widget is $3.25

number of widget =15 whose costs is $53.75

so,

A manufacturer sells widgets for $3.25 each

They charge a flat shipping rate on all orders. An order of 15 widgets costs $53.75

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: