The number of men and women receiving bachelor's degrees each year has been steadily increasing. for the years 1970 through the projection of 2014, the number of men receiving degrees (in thousands) is given by the equation y = 3.6x + 443, and for women, the equation is y = 14.3x + 317, where x is the number of years since 1970. use substitution to solve this system of equations. select one: a. (42, 596) b. (12, 485) c. (71, 699) d. (7, 468)

b. (12, 485)

Step-by-step explanation:

We have been given  the number of men receiving degrees (in thousands) is given by the equation , and for women, the equation is , where x is the number of years since 1970.

Let us find the coordinates of the point of intersection of both lines by equating our both equations as:

Upon substituting x=11.7757 in our equations we will get,

Upon rounding our answers to nearest whole number we will get,

Therefore, the point (12,485) will be the solution of our given equations and option b is the correct choice.

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.