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A tablet at a local electronics store is in high demand and will only be available to customers for a limited time. The store initially has 4 cases of the tablet on hand. The store manager receives new supplies of the tablet each week. At the beginning of week 1, the store manager receives an additional order from the distributor of 5 cases of tablets. At the beginning of week 6, the manager receives another order of 10 cases. Which of the following equations best models the scenario for how many cases of the tablet the store can expect to receive each week?

A Tablet At A Local Electronics Store Is In High Demand And Will Only Be Available To Customers For A Limited Time The Store Initially Has 4 Cases Of The Tablet class=

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Answer:

y = x + 4

Explanation:

Initially (at week 0) = 4 cases

now (at week 1) = 5 cases

now (at week 6) = 10 cases

turn them into points:

  • (0, 4), (1, 5), (6, 10)

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) : \dfrac{5-4}{1- 0 } = 1[/tex]

Find equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\sf \rightarrow y-4 =1(x -0)[/tex]

[tex]\sf \rightarrow y = x +4[/tex]

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