Answer:
862 m (nearest whole number)
Step-by-step explanation:
General form of an exponential function: [tex]\sf y=ab^x[/tex]
where:
- a is the y-intercept (or initial value)
- b is the base (or growth factor)
- x is the independent variable
- y is the dependent variable
If b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
If the mountain is losing elevation at a rate of 5% every millennium , then it as every millennium passes, it will be 95% of the height it was in the previous millennium (as 100% - 5% = 95%)
Given:
- a (initial value) = 1300 m
- b = 95% = 0.95
- x = 8 millennia
Substituting these values into the formula:
[tex]\sf \implies y=1300(0.95)^8[/tex]
[tex]\sf \implies y=862.4467607...[/tex]
[tex]\sf \implies y=862 \ m \ (nearest \ whole \ number)[/tex]
