Interpret the equation y = 4x + 10. What type of function does this equation define? Describe its graph. (1 point)

Question

• This is a nonlinear function. Its graph is a curve.
• This is a linear function. Its graph is a straight line with a y-intercept of —4 and a slope of 10.
• This is a nonlinear function. Its graph has a maximum at (0, 10).
• This is a linear function. Its graph is a straight line with a slope of — 4 and a y-intercept of 10.

Answer 1

This is a linear function. Its graph is a straight line with a slope of 4 and a y-intercept of 10.

Answer 2

The equation of a function is y = 2x - 6. If this function were graphed, what would its y-intercept be? (1 point)
O -3
O 6
O -6
O 2

Answer 3

The y-intercept of a function is the value of y when x is 0.

In the equation y = 2x - 6, if we substitute x = 0 into the equation, we get:
y = 2(0) - 6
y = -6

Therefore, the y-intercept of the function is -6.

Answer 4

Use the table to answer the question.
х y
4 38
6 58
Write the equation of the linear function that models the relationship shown in the table.
(1 point)
О у = -10× + 78
O y = 10x + 2
О у = 10×- 2
O y = x + 34

Answer 5

To find the equation of the linear function that models the relationship shown in the table, we first need to determine the slope of the line.

Using the points (4, 38) and (6, 58):
Slope = (y2 - y1) / (x2 - x1)
Slope = (58 - 38) / (6 - 4) = 20 / 2 = 10

Now that we have the slope, we can use one of the points with the slope to find the y-intercept. Let's use (4, 38):
y = mx + b (where m is the slope and b is the y-intercept)
38 = 10(4) + b
38 = 40 + b
b = -2

Therefore, the equation of the linear function is:
y = 10x - 2

So, the correct choice is: O y = 10x - 2

Answer 6

Olivia is opening a bank account. She learns that there is a special promotion where if she deposits $3,000 and then makes no additional deposits or withdrawals, her account will earn $3 in interest per month. Write the equation of a linear function that models the relationship between the number of months and the total amount of money Olivia will have in her account. (1 point)

O y = 3х + 3, 000, where is the number of months and y is the total amount of money Olivia will have in her account.
O y = 1,000x + 3, where x is the number of months and y is the total amount of money Olivia will have in her account.
O y = 3,000x + 3, where x is the number of months and y is the total amount of money Olivia will have in her account.
O y = 3x + 1,000, where x is the number of months and y is the total amount of money Olivia will have in her account.

Answer 7

The equation of a linear function that models the relationship between the number of months and the total amount of money Olivia will have in her account is:

y = 3x + 3,000

In this equation, x represents the number of months and y represents the total amount of money Olivia will have in her account.

Therefore, the correct choice is: O y = 3x + 3,000.