Question

Ruth wants to buy even number of candies upto 10 and she has $\$25$ in her pocket. If each candy costs $\$1.5$, then which of the following is the correct mapping diagram?

• A.
• B. $\left\{\right(2,3),(4,6),(6,9),(8,12),(10,15\left)\right\}$
• C.

Answer 1

The correct option is A

Let number of candy, she buys, be $x$
Total amount of money, she spends for buying $x$ candies, be $\$y$
Given rule is $y=1.5x$
Domain:$\{2,4,6,8,10\}$

here, independent variable is number of candies and dependent variable is amount of money spent.

We can calculate range i.e. collection of output values by putting $x$ values in given rule.
$x=2\Rightarrow 1.5\times 2=3x=4\Rightarrow 1.5\times 4=6x=6\Rightarrow 1.5\times 6=9x=8\Rightarrow 1.5\times 8=12x=10\Rightarrow 1.5\times 10=15$

Mapped diagram for given input and outputs is :
Mapping is done from domain to range that means arrow point towards range.