Question

A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting the data, it was determined that the
average bowling league consists of a one-time registration fee and a monthly fee modeled by the equation y-12x + 30.
Identify and interpret the slope in this scenario.
O The slope is 30. Starting at $12, the cost will increase by $30 per month.
O The slope is 30. Starting at $12, the cost will decrease by $30 per month.
O The slope is 12. Starting at $30, the cost will increase by $12 per month.
O The slope is 12. Starting at $30, the cost will decrease by $12 per month.

Answer 1

The slope in this scenario is 12 and , starting at $30 the cost will increase by $12 per month .

In the question ,

it is given that

the average bowling league has  one time registration fees

and

a monthly fees .

let the number of months the training continues be "x" .

the equation is given as y = 12x + 30

since the one time registration fees is fixed so , it will be 30 .

and the monthly fees varies with the number of months of training , so monthly fees will be 12x  .

On comparing the given equation y = 12x + 30 with slope intercept form of the line y = mx + c  ,
we get ,

slope (m) = 12 .

and starting cost = $30 and the increase in cost by $12 per month .

Therefore , The slope in this scenario is 12 and , starting at $30 the cost will increase by $12 per month , the correct option is (c) .

The given question is incomplete , the complete question is

A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting the data, it was determined that the average bowling league consists of a one-time registration fee and a monthly fee modeled by the equation y = 12x + 30.

Identify and interpret the slope in this scenario.

(a) The slope is 30. Starting at $12, the cost will increase by $30 per month.

(b) The slope is 30. Starting at $12, the cost will decrease by $30 per month.

(c) The slope is 12. Starting at $30, the cost will increase by $12 per month.

(d) The slope is 12. Starting at $30, the cost will decrease by $12 per month.

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