Question

Applying a Table of Values
Nicholas has some cans at home to donate to the soup kitchen, but he decides to start a can drive at his school to see if other students will help. The table represents the number of cans donated, y, which is dependent on the number of days cans are collected, x.

A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 7, 10. Column 2 is labeled y with entries 955, 1660, 2365.

Find the linear equation that represents the scenario.
y = 235x + 15
y = 4x + 955
y = 15x + 235
y = 3x + 705

Answer 1

Compute the slope: between x=4 and x=7, Δy = 1660−955 = 705 and Δx = 3, so slope m = 705/3 = 235.
Use (4,955): 955 = 235(4) + b → b = 955 − 940 = 15.
Equation: y = 235x + 15.