Question

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.

Answer 1

Answer: A

Explanation:

short reference to what is above

Answer 2

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

Explanation:

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

`y-53.75=3.25(x-15)`

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

`y-y_1=m(x-x_1)`

we can find m ,x1,y1

`m=3.25`

`x_1=15,y_1=53.75`

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