jack wants to buy an electric guitar. he began the the year with some money saved to buy the guitar, and each week he adds a fixed amount to his savings. if y represents the total amount jack has saved after x weeks, which of the following situations is represented by the table below?

a.

jack initially had $45 saved, and the amount is increasing at a rate of $15 per week.

b.

jack initially had $45 saved, and the amount is increasing at a rate of $30 per week.

c.

jack initially had $75 saved, and the amount is increasing at a rate of $15 per week.

d.

jack initially had $75 saved, and the amount is increasing at a rate of $30 per week.

15$/week

Initial amount = 45$

Correct Option= A

Step-by-step explanation:

The equation that represents the total amount Jack has saved is

y = Ax +B

where B is the initial amount saved.

We know that after two weeks, he has saved 75$

75$ = 2*A +B      

We know that after four weeks, he has saved 105$

105$ = 4*A +B

With this, we have a system of two equations with two unknowns,

We solve for A and B

B  =  75$ - 2*A

105$ = 4*A + 75$ - 2*A

A = 15$/week

B  =  75$ - 2 weeks*(15$/week) = 45$

"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:

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?