Peter played his favorite video game for many hours last week. today, peter's parents restricted him to only a few hours each week for the next several weeks. the function, f(x) = 4x + 12 models peter's total video game time. how many total hours of gaming would peter have after 6 weeks? next, explain what each number in the function represents in the context of the problem, using complete sentences. then explain how to graph the function on a coordinate grid.

f(X) = 10 + 5X

f(X) is the total hours for that week

X is the week number after this plan was put in place

Graphically:

10 is the y-intercept; this is when X=0 which is when

    the plan went into effect

5 is the change in the y-value for a change of 1 in the  

   X-value; this will raise the number of games he can

   play by 5 each additional week

After 6 weeks Peter would have 36 total hours of gaming. All you have to do is plug 6 in for x, so you would multiply 6 * 4 = 24 and add 12 which equals 36. The number 12 in the equation equals the number of hours Peter played last week, 4 equals the number of hours Peter's parents let him pay per week, and x equals the number of weeks Peter plays his favorite game. Hope this helps.

if this is really you s much. i only have 3 points left and i have 2 questions to ask

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: