Ben has $5. In order to have money for a new tablet computer, Ben is going to sell his collection of stamps for $3 per stamp. Ben has decided to graph a line showing the relatio…

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asked Oct 16, 2019 105k views

2 Answers

Boez · Answer 1 · 2019-10-21T10:30:09+0000

Answer:

The y-intercept of Ben's graph is
y = 5 .

Explanation:

The function for Ben's amount of money y, depending on the number of stamps sold x, is as follows:

y = ax + b

In which a is the price of each stamp and b is his initial money.

Building the function:

Ben has $5. This means that if he sells no stamps, he is still going to have $5. So
b = 5 .

For each stamp sold, he gains $3. So if sells 1 stamp, he will have $8, if he sells 2, he will have $11. So
a = 3 .

The function is:

y = 3x + 5

Which will be the y-intercept of Ben's graph?

This is the value of y when x = 0.

So

y = 3*0 + 5 = 5

The y-intercept of Ben's graph is
y = 5 .