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what is the equation of the exponential graph shown?

exponential functions fit the template

y = a*b^x

where 'a' and b are fixed values

the value of 'a' is the y intercept. in this case, it is 100 since (0,100) is on the curve. this is the part where the graph crosses the y axis. so a = 100.

the value of b takes a bit of work to find. we'll plug a = 100, x = 1 and y = 50 into the equation shown above. why x = 1 and y = 50 you might ask? well the point (1,50) appears to be on the graph as well.

so plugging those three items into the equation leads to

y = a*b^x

50 = 100*b^1

50 = 100*b

50/100 = 100*b/100 divide both sides by 100

1/2 = b

b = 1/2 

b = 0.5

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step-by-step explanation: