The Brown family needs to rent a truck for their upcoming move. Express Movers will charge them $25 for the first day and $0.80
for every mile. Smith & Smith Co. will charge $35 for the first day and $0.60 for every mile. Before deciding which service to use, Mrs. Brown wants to find out how many miles would make the two choices equivalent in cost. The following equations represent this situation.
Here, x represents number of miles and y represents the cost.
This situation is shown in the graph.
Here, x represents number of miles and y represents the cost.
This situation is shown in the graph.
2 answers:
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Answer:
The change in volume is estimated to be 17.20
Step-by-step explanation:
The linearization or linear approximation of a function is given by:
where
is the total differential of the function evaluated in the given point.
For the given function, the linearization is:
Taking inches and
inches and evaluating the partial derivatives we obtain:
substituting the values and taking and
inches we have:
Therefore the change in volume is estimated to be 17.20