WILL GIVE BRAINLIEST NEED HELP ASAP SHOW WORK

Jim can travel at most 240 miles before he needs to stop for fuel. On a road trip. Jim drives a consistent 70 miles per hour for h hours, and he has already driven 100 miles. Model Jim's situation with an inequality, and solve for
What can be interpreted about the solution to the inequality?

A.
Jim has at least four hours before he must stop for fuel.
B.
Jim has at most four hours before he must stop for fuel
C.
Jim has at most two hours before he must stop for fuel
D.
Jim has at least two hours before he must stop for fuel

Jim has atleast 2 hours before he must stop for fuel

Step-by-step explanation:

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt