Translate the given statement into an algebraic inequality or compound inequality: To avoid an additional charge, the sum of the length, l, width, w, and depth, d, of a piece of luggage to be checked on a commercial airline can be at most 61 inches.

a.

l + w + d greater-than 61

b.

l + w + d less-than 61

c.

l + w + d greater-than-or-equal-to 61

d.

l + w + d less-than-or-equal-to 61

Step-by-step explanation:

Given

Sum of l, w and d be at most 61

Required

Write as inequality

First, we need to determine the sum of l, w and d

Next, we determine the type of inequality.

At most 61 means less than or equal to 61

So, the expression becomes:

Substitute value for Sum

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: