Anya and Jake started new jobs at the same time. Anya's starting salary was $42,000, and she gets a $1,500 raise each year. Jake's starting salary was $35,000, and he gets a 3% raise each year.

J(x)=1050x+35000

Step-by-step explanation:

The complete question is

Anya and Jake started new jobs at the same time. Anya’s starting salary was $42,000, and she gets a $1,500 raise each year. Jake’s starting salary was $35,000, and he gets a 3% raise each year. What function gives Jake’s salary after x years?

Solution

The starting salary refers to the initial condition, the salary Jake began from. That means, it's the constant term in the function.

On the other hand, the constant ratio of change of the function is the yearly raise, which is 3% of $35,000. Let's find how much money it is.

0.03(35000)=1050

This means, they raise Jake's salary $1,050 each year, that's the constant ratio of change.

Therefore, the function which represents Jake's salary is

J(x)=1050x+35000

Where x represents years.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.