Sam would like to use his extensive stamp collection as collateral for a secured loan. sam has documentation that says his stamp collection is worth $10,525.00. sam's bank has a policy that permits loan officers to lend no more than 82.5% of the value of the collateral. what is the maximum loan amount sam can get from his bank using his stamp collection as collateral?

Step-by-step explanation:

Let y be the value in dollars and x be the number of euros.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (36 - 9)/(32 - 8)

m = 27/24 = 1.125

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = intercept

m = slope

To determine the intercept, we would substitute x = 8, y = 9 and m = 1.125 into y = mx + c. It becomes

9 = 1.125 × 8 + c = 9 + c

c = 9 - 9 = 0

The equation showing the relationship is

y = 1.125x