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.
(b) Determine the
y
-intercept. Interpret its meaning in the context of this problem.
The
y
-intercept is
,
. This means that the cost would be
$
if
ride(s) are purchased.
The y-intercept is (0, 13). This means that the cost would be $13 if no ride tickets are purchased.
To find the y-intercept, we set x=0 in the equation y + 1.37x = 13.
Substituting x=0, we have y + 1.37(0) = 13.
Simplifying, we get y + 0 = 13.
Therefore, y = 13.
The y-intercept is (0, 13).
In the context of this problem, the y-intercept represents the cost in dollars to be admitted to the fair without purchasing any rides. So, if no ride tickets are purchased, the cost to be admitted to the fair is $13.
To find the y-intercept of the equation, you need to set the value of x to 0 and solve for y. In this equation, y represents the cost and x represents the number of ride tickets.
Let's substitute x = 0 into the equation: y + 1.37(0) = 13
Simplifying the equation: y + 0 = 13
Therefore, y = 13
The y-intercept is (0, 13). This means that if no ride tickets (x = 0) are purchased, the cost for admission (y) to the fair would be $13.