Question

A company tests the life of its rechargeable batteries over six months of use. They test how long a battery will last after a full charge and put the data into a scatter plot. On the best-fit line y=-12.05+224.26 about how many months will a typical battery last before it is completely dead? Round your answer to the nearest tenth of a month.

Answer 1

18.6 months

Explanation:

Given that :

Best fit line from scatterplot :

y=-12.05x +224.26

x = Number of month

y = charge on battery

Number of months a typical battery uses before being dead completely :

When battery is dead completely ; charge =0, y = 0

y = -12.05x + 224.26

0 = - 12.05x + 224.26

12.05x = 224.26

x = 224.26 / 12.05

x = 18.610788

Hence, 18.6 months before battery is completely dead.