Roy is attending his cousin's graduation ceremony
in another town. roy has already driven 30 miles
and the ceremony starts in 2 hours.
a. let r represent roy's driving speed in miles
per hour. write an expression to show the total
distance roy will have driven in 2 hours.
b. the graduation is 150 miles from roy's home.
use this information and your expression
from part (a) to write an inequality showing
the possible speeds roy could drive to make it
to the ceremony on time.
c. solve your inequality and graph the solutions.
what does your solution mean in the context
of the problem?

yes

step-by-step explanation:

yes

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

what are you trying to solve here

step-by-step explanation: