Coach keller is having the last names of his players printed on their shirts! ?

Here, x represents the number of letters, and y represents the costs in dollars.

Slope defined as the change in the y-variable to the change in the x-variables;

It is given by:

Consider any two points from the given table:

(15, 7)and (30, 10.75)

Substitute the given values we have;

The equation of any straight line is given by:

where m is the slope and b is the y-intercepts.

Substitute the value of m = 0.25 in the equation of line we have;

y = 0.25x+b

Solve for b;

Substitute any values of x and y from the given table;

For x = 20 and y = 8.25

then;

8.25 = 0.25(20) +b

Simplify:

8.25 = 5+b

Subtract 5 from both sides we have;

b = 3.25

y-intercept(b) = 3.25

Therefore, linear function become;

Here slope(i.,e m = 0.25) represents the cost per letter.

and y-intercept of the function represents the initial cost

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.