Question

#5:

A store owner buys baseball cards in bulk. The owner
recorded the amount (y), in dollars, she paid for each
of the last 10 collections she bought based
on x thousand cards in each collection. She used that
data to calculate the line of best fit with the equation
shown below.
y=39.94x +3.84
Based on the store owner's line of best fit, what amount
should she expect to pay for a collection that has 1,500
cards?
$63.75
$59.91
$48.28
$45.70

Answer 1

To use the line of best-fit equation to estimate the cost of a collection with 1,500 cards, we can substitute 1.5 (since x represents thousands of cards) for x in the equation and solve for y:

y = 39.94x + 3.84

y = 39.94(1.5) + 3.84

y = 59.91

Therefore, based on the store owner's line of best-fit equation, she should expect to pay approximately $59.91 for a collection that has 1,500 cards.

The answer is: $59.91

Explanation: