Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 miles from her school. She rides an additional 2.5 miles for each trip, t, she makes around the park. Which inequality represents the situation?

Given:

Jessamine wants to ride her bike at least 85 miles per week.

Distance between her house and school  = 6.25 miles.

Additional distance = 2.5 miles for each trip t.

Number of days = 5

To find:

The inequality for the given situation.

Solution:

Distance between her house and school  = 6.25 miles.

Distance cover in the one day ride from house to school  then school to house = 2×6.25 miles.

Distance cover in the five days day ride from house to school  then school to house = 5×2×6.25 miles.

Additional distance = 2.5t

Total distance = 5×2×6.25 + 2.5t

Jessamine wants to ride her bike at least 85 miles per week. It means , total distance must be greater than or equal to 85.

Therefore, the required inequality is .

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.