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A local electronics store offers a rewards card to each of its customers. The number of rewards points a customer earns varies directly with the amount of money, in dollars, that the customer spends at the store. After spending $60 at the electronics store, Jay earned 15 points. If Jay spends 40 at the store, how many points will he earn?

Respuesta :

If Jay spends 40 at the store, the number of points he will earn is; 10 points

How to solve direct variation?

Let the number of rewards points a customer earns be y

Let the amount of money, in dollars, that the customer spends at the store be x.

Since the number of rewards points a customer earns varies directly with the amount of money, in dollars, that the customer spends at the store, then we can say that;

y ∝ x

Thus;

y = kx

where k is the constant of proportionality.

We are given x = 15 when y = $60. Thus;

60 = 15k

k = 60/15

k = 4

If Jay spends $40, it means the number of points will be;

40 = 4x

40/4 = x

x = 10 points.

Read more about Direct Variation at; https://brainly.com/question/6499629

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