Question

PLS HELP ASAP WILL GIVE BRAINLIEST AND 100 POINTS

Answer 1

Part A: He started with 4 miles.

Explanation Part A:    51.664 = (x((1.2⁷)-1)) / 0.2

Part B: The equation is 51.664 = (x(1.2⁷)-1)/0.2

Explanation: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.

We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2

So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.

Our bottom half is 1.2 - 1 which equals 0.2

Part C : 103.83 miles

Explanation: We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.

Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.