Printer ink cartridges cost $19 each. The company that sells the ink cartridges charges a flat rate of $7.50, no matter how many ink cartridges you buy.
Write an algebraic expression that describes the total cost for a single order of `x`, cartridges.
HINT: Use the table to help you write the expression
The total cost for a single order of x cartridges can be expressed as:
Total cost = (cost per cartridge * number of cartridges) + flat rate charge
Total cost = (19 * x) + 7.50
`5x^{2}+2y` when `x\ =\ -3` and `y\ =0.25`.
To evaluate the expression `5x^2 + 2y` when `x = -3` and `y = 0.25`, we substitute these values into the expression:
(5 * (-3)^2) + (2 * 0.25)
Now, let's simplify this expression:
(5 * 9) + (0.5)
45 + 0.5
45.5
Therefore, when `x = -3` and `y = 0.25`, the expression `5x^2 + 2y` equals 45.5.
The algebraic expression that describes the total cost for a single order of x cartridges is:
Total cost = (Number of cartridges x Cost of each cartridge) + Flat rate charge
In this case, the cost of each cartridge is $19 and the flat rate charge is $7.50. Therefore, the expression becomes:
Total cost = (x * 19) + 7.50
To write an algebraic expression that describes the total cost for a single order of `x` cartridges, we need to consider both the cost per ink cartridge and the flat rate charged by the company.
The cost per ink cartridge is given as $19, and the flat rate charged is $7.50, regardless of the number of cartridges.
So, for a single order of `x` cartridges, the expression would be:
Total cost = (Cost per cartridge * Number of cartridges) + Flat rate
Substituting the given values:
Total cost = ($19 * x) + $7.50
Therefore, the algebraic expression that describes the total cost for a single order of `x` cartridges is:
Total cost = 19x + 7.50