You are a contractor and charge $90 for a site visit plus an additional $24 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $810 working at two separate work sites. Let the number of hours you work be y.

x=29.66hrs

Step-by-step explanation:

Firstly, we can model the equation for the total cost as

Let y be the total cost

Let x be the number of hours

Y=98+24x

Also, given that you have earned $810

We can substitute Y=810 and solve for x

810=98+24x

810-98=24x

712=24x

Dividing both sides by 24

712/24=x

x=29.66hrs

, 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

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.