Question 5
For a recent year, children's admission to the Minnesota State Fair was
$13
. Ride tickets were
$1.37
each. The equation
=y+1.37x13
represented the cost,
y
, in the dollars to be admitted to the fair and to purchase
x
ride tickets.
(a) Determine the slope of the line represented by
=y+1.37x13
. Interpret the meaning of the slope in the context of this problem.
The slope is
.
The slope means that the cost (increases or decreases) by
$
per ride.
The slope of the line represented by the equation is 1.37.
In the context of this problem, the slope represents the rate at which the cost increases for each additional ride ticket purchased. Specifically, for every additional ride ticket purchased, the cost increases by $1.37.
To determine the slope of the line represented by the equation y = 1.37x + 13, we can observe that the equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope is 1.37.
Interpreting the meaning of the slope in the context of this problem, it means that the cost increases by $1.37 per ride ticket. For every additional ride ticket purchased, the cost of admission to the fair increases by $1.37.
To determine the slope of the line represented by the equation = y + 1.37x + 13, we need to rewrite the equation in slope-intercept form, which is y = mx + b. In this case, 'm' represents the slope.
Given the equation = y + 1.37x + 13, we can rewrite it as y = 1.37x + 13. Now we can see that the slope of the line is 1.37.
Interpreting the meaning of the slope in the context of this problem, we can say that for each additional ride ticket (x), the cost (y) increases by $1.37. So, the slope of 1.37 means that the cost increases by $1.37 per ride ticket.