Question 2A car dealership has several options for purchasing a new car which includes 7 colours, 6 interior styles, 4 wheelscovers, 4 electronic packages, and 3 engine sizes. How many different combinations are available?

2016 possible combinations

Step-by-step explanation:

7 x 6 x 4 x 4 x 3 = 2016

When finding available combinations, you just take all your numbers with the different options and multiply them :)

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.