QUESTION IMAGE
Question
- table d
| monthly salary in $, x | amount deposited in $, y |
|---|---|
| 998 | 598 |
| 1,015 | 615 |
| 2,110 | 1,710 |
| electricity bill in $, x | total expenses in $, y |
|---|---|
| 124 | 524 |
| 309 | 709 |
| 816 | 1,216 |
| 1,024 | 1,412 |
- based on your observations and descriptions from above, match each table to the equation that describes the relationship between x and y.
$400 + x = y$ ______
$x - 400 = y$ ______
$x + y = 400$ ______
$400 \cdot x = y$ ______
integrated math 1a- hs2081 - unit 3
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11
student activity workbook- spring 2023
Step1: Analyze first table (electricity/total expenses)
Test pairs: $85 + 400 = 485$, $124 + 400 = 524$, $309 + 400 = 709$, $816 + 400 = 1216$, $1024 + 400 = 1412$. All match $400 + x = y$.
Step2: Analyze second table (salary/deposit)
Test pairs: $872 - 400 = 472$, $998 - 400 = 598$, $1015 - 400 = 615$, $2110 - 400 = 1710$. All match $x - 400 = y$.
Step3: Match remaining equations
No tables fit $x+y=400$ or $400 \cdot x = y$, so they remain unmatched.
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$400 + x = y$ → Electricity bill/total expenses table
$x - 400 = y$ → Monthly salary/deposit table
$x + y = 400$ → No matching table
$400 \cdot x = y$ → No matching table