Question

Vincent is ordering accessories for his surfboard. A set of fins cost $24 each and a leash costs $15. The shipping cost is $4 per order. The expression 24b + 15b + 4 can be used to find the cost in dollars of buying b fins and b leashes plus the cost of shipping.

Answer 1

Here, b represents buying fins and leashes.

As per the statement:

Vincent is ordering accessories for his surfboard. A set of fins cost $24 each and a leash costs $15.

A set of fins cost $24 each and a leash costs $15

⇒ Cost of total fins = 24 b and Cost of total leashes = 15 b

It is also given that: The shipping cost is $4 per order.

then;

Cost in dollars of buying b fins and b leashes plus the cost of shipping

=
`24b+15b+4`

Therefore, the expression
`24b+15b+4` represents the cost in dollars of buying b fins and b leashes plus the cost of shipping.

10

(a)

True.

The given terms in the expressions are 24b, 10b and 4

(b)

True.

Like terms are those which have same variable.

Like terms in the given expression are: 24 b and 15 b

(c)

False.

Combine like terms in the given expression:

`39b+4`

Therefore, the simplified given expression is,
`39b+4`