Darren is going to the state fair. each ride costs $6 to ride, and each exhibit costs $3 to view. darren can spend at most $84 at the fair. the inequality and graph that represent this situation are shown, with x representing the number of rides darren can ride and y representing the number of exhibits he can view. 6x + 3y ≤ 84 which solution is valid within the context of the situation? a. (9,10) b. (8.5,11) c. (11,-2) d. (-3,15)

A. (9,10)

Step-by-step explanation:

Inequalities

The inequality represents the situation described in the problem, with x representing the number of rides Darren can ride and y representing the number of exhibits he can view. We must test which of the following solutions is valid .

A. (9,10) B. (8.5,11) C. (11,-2) D. (-3,15)

The options C and D are quickly discarded, since they involve the use of negative values for x or y. The problem requires that both are positive. If we use the first solution and replace the values into the inequality we get

The inequality stands.

The other solution cannot be correct because it would imply that a variable is not an integer. The number of rides cannot be 8.5

Thus, the only valid solution is

A. (9,10)

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.