Question

The total cost C ( in dollars) to participate in a triathlon series is given by the literal equation C =90x+35 where x is the number of triathlon in which you participate. If your maximum annual triathlon cost is 1000 what is the maximum number of triathlons in who you could prarticipate?

Answer 1

The answer is below in the photo.

Answer 2

We can participate in 10 triathlons.

Explanation:

Total cost C to participate in x number of triathlon is given by the expression

C = 90x + 35

If the maximum cost of the annual triathlon is = $1000

Then we can find the maximum number of triathlons by putting C = $1000 in the expression

1000 = 90x + 35

90x = 1000 - 35

90x = 965

x =
`(965)/(90)`

x = 10.72

Therefore, we can participate in 10 triathlons.