Question

Which graph represents viable values for y=5.5x, where x is the number of cans of tomato paste abd y is the total weight of the sealed cans in ounces?

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Answer 1

The second graph.

Explanation:

The second dotted graph represents viable values because the weights of cans are discrete data. We deal with a whole number of cans ( not parts of a can) so a continuous graph like the first one is not appropriate here.

Answer 2

The second graph.

Explanation:

The second graph represents viable values to these variables, because the independent variable, which it's the horizontal axis, represents cans of tomato past, and that it's only represented by a discrete variables, this means that cans can be counted only in natural numbers 1, 2, 3, 4, 5, ... and the second graph represent these discrete values, because it shows points for each can.

On the other hand, the first graph represents a continuous variable, which admits decimal numbers that cannot represent cans, because we cannot say "I have 2.345 cans", it's not possible, because each can is a whole, 1 can, 2 cans, and so on.

Therefore, the second graph is the viable.