Traci is collecting donations for a dance marathon. One group of sponsors will donate $36 for each hour she dances. Another group of sponsors plans to donate $75 no matter how long she dances. Traci plans to dance until she has raised at least $1,200. Let h represent the number of hours that Traci dances. Write and solve an inequality to determine the minimum number of hours that Traci needs to dance in order to raise $1,200.

36h + 75 < 1200

solve:

36h + 75 = 1200

36h = 1125

h = 1125 divided by 36 = 31.25.

Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

i don't know, but that looks pretty bad. my school passed us unless we failed in all the subjects, but idk abt ur school's rules.

copyright potato 2019.