The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach buys. The situation is represented by the function rule ab.
a.
Make a table of values and graph the function rule. Is the graph continuous or discrete? Explain.
b.
Suppose the coach spent $144 before tax. How many basketballs did she buy?
Question content area bottom
Part 1
a. Complete the following table of values.
b
0
1
2
3
4
a
enter your response here
enter your response here
enter your response here
enter your response here
enter your response here
(Simplify your answers.)
a. 0, 1, 2, 3, 4 (Number of basketballs)
b. 0, $144, $288, $432, $576 (Amount spent at the sporting goods store)
The table of values is:
Number of basketballs (x): 0, 1, 2, 3, 4
Amount spent ($): 0, 144, 288, 432, 576
b. The coach spent $144 at the sporting goods store. Looking at the second column of the table, we can see that she bought 1 basketball.
y is 5 less than the product of 6 and x.
The situation can be represented by the function rule: y = 6x - 5.
To find a table of values for this function, we can choose different values for x and then substitute them into the function rule to find the corresponding values of y.
Table of values:
x | y
-----------------
0 | - 5
1 | 1
2 | 7
3 | 13
4 | 19
To graph this function, we can plot the points from the table of values on the coordinate plane and connect them with a straight line.
The graph of the function y = 6x - 5 will be a straight line with a slope of 6 and a y-intercept of -5.
The graph is continuous, as it consists of a connected line.
Write a function rule to represent the situation.
the total cost C for g grams of ham if each gram costs $3.49
The function rule to represent the situation is: C = 3.49 * g
Write a function rule that represents the situation.
The price p of a pizza is $6.75 plus $0.85 for each of the t toppings on the pizza.
p=
(Use integers or decimals for any numbers in the expression. Do not include the $ symbol in your answer.)
The function rule to represent the situation is: p = 6.75 + 0.85t
Light travels about 186,000 mi/s. The function d(t)=186,000t gives the distance d(t), in miles, that light travels in t seconds. How far does light travel in 38 s?
d(38) =
To find how far light travels in 38 seconds, we need to substitute t = 38 into the function d(t) = 186,000t and evaluate it.
d(38) = 186,000 * 38
d(38) = 7,068,000
Therefore, light travels approximately 7,068,000 miles in 38 seconds.
Find the range of the function for the given domain.
f(x)=2x - 3; {-2,-1,0,1,2}