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BRAINLIEST IF U ANSWER!!! BTW I WILL BE CHECKING IF THE ANSWER IS CORRECT ONLY IF ITS CORRECT BRIANLIEST ANSWER WITHIN 30 MINS!!! The value of a baseball​ player's rookie card began to increase once the player retired. When he retired in 2000 his card was worth ​$4.23 The value has increased by ​$2.92 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y​ proportional? What was the value of the card in 2010 ​?

Sagot :

MrRoyal

Answer:

Relationship: [tex]y =2.92x+4.23[/tex]

They are not proportional

The value is $33.43

Step-by-step explanation:

Given:

[tex]x = years[/tex]

[tex]y = amount[/tex]

When he retired, the expression is:

[tex](x_1,y_1) = (0,4.23)[/tex]

and the rate (m) is:

[tex]m = 2.92[/tex]

Solving (a): The relationship between y and x

This can be solved using the following point-slope formula:

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

Substitute values for x1, y1 and m

[tex]y - 4.23=2.92(x-0)[/tex]

[tex]y - 4.23=2.92(x)[/tex]

Make y the subject

[tex]y =2.92(x)+4.23[/tex]

[tex]y =2.92x+4.23[/tex]

Solving (b): Are they proportional?

No, they are not

A proportional relationship is expressed as:

[tex]y = mx[/tex]

By comparing this to [tex]y =2.92x+4.23[/tex]; they have different format

Solving (c): Value in 2010?

First, we determine the value of x in 2010

2000; x = 0

2001; x = 1

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2010; x = 10

Substitute 10 for x in [tex]y =2.92x+4.23[/tex]

[tex]y = 2.92*10+4.23[/tex]

[tex]y = 29.2+4.23[/tex]

[tex]y = 33.43[/tex]

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