#13.

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"x
, cartridges.

Math Input: 19 "x" plus 7.5 0
✅
Number of Cartridges Total Cost
1 19 (1) +7.5 0
2 ___________
3 ___________
"x" _________

1 answer

To find the total cost $ C $ for $ x $ ink cartridges, you need to account for the cost of the cartridges and the flat shipping fee. The cost for the cartridges is $ 19x $ (where $ 19 $ is the cost per cartridge and $ x $ is the number of cartridges), and the flat shipping fee is $ 7.50 $.

So, the total cost $ C $ can be expressed as:

\[ C = 19x + 7.50 \]

Filling in the table for various values of $ x $:

For $ x = 1 $: \[ C = 19(1) + 7.50 = 19 + 7.50 = 26.50 \]
For $ x = 2 $: \[ C = 19(2) + 7.50 = 38 + 7.50 = 45.50 \]
For $ x = 3 $: \[ C = 19(3) + 7.50 = 57 + 7.50 = 64.50 \]
For $ x = x $ (keeping it general): \[ C = 19x + 7.50 \]

Thus, the completed table of costs is:

| Number of Cartridges | Total Cost | |-----------------------|------------| | 1 | 26.50 | | 2 | 45.50 | | 3 | 64.50 | | x | 19x + 7.50 |