Question

Study the example problem showing how to write an equation using the slope and the y-intercept. Then solve problems 1-7. Example Chuck's Appliance Repair charges a $25 service fee plus $35 for each hour the repair takes. Write an equation that relates the total cost y of a repair and the number of hours the repair takes x. Use a table of values to find the slope and y-intercept. When x = 0, y = 25, so the y-intercept is 25. As x increases by 1, y increases by 35, so the slope is 35/1, or 35. Hours, x | Total Cost ($), y 0 | 25 1 | 60 2 | 95 3 | 130 4 | 165 You can write an equation for this function by substituting values for the slope m and the y-intercept b into the equation y = mx + b. The equation is y = 35x + 25. Vocabulary slope the ratio rise/run which tells you how many units a line goes for every unit that it goes over. y-intercept the y-coordinate of the point where a graph intersects the y-axis. 1 Check the equation in the example problem by substituting for x using one of the x-values from the table. Do you get the y-value shown in the table? 2 What do the slope and the y-intercept mean in the context of the problem? 3 Use the table to find the slope and the y-intercept of the function represented. x | 0 | 1 | 2 | 3 | 4 y | 6 | 9 | 12 | 15 | 18 The slope is 2. The y-intercept is 1.

          Study the example problem showing how to write an equation using the slope and the y-intercept. Then solve problems 1-7.

Example
Chuck's Appliance Repair charges a $25 service fee plus $35 for each hour the repair takes. Write an equation that relates the total cost y of a repair and the number of hours the repair takes x.

Use a table of values to find the slope and y-intercept. When x = 0, y = 25, so the y-intercept is 25. As x increases by 1, y increases by 35, so the slope is 35/1, or 35.

Hours, x | Total Cost ($), y
0 | 25
1 | 60
2 | 95
3 | 130
4 | 165

You can write an equation for this function by substituting values for the slope m and the y-intercept b into the equation y = mx + b.
The equation is y = 35x + 25.

Vocabulary
slope the ratio rise/run which tells you how many units a line goes for every unit that it goes over.
y-intercept the y-coordinate of the point where a graph intersects the y-axis.

1 Check the equation in the example problem by substituting for x using one of the x-values from the table. Do you get the y-value shown in the table?

2 What do the slope and the y-intercept mean in the context of the problem?

3 Use the table to find the slope and the y-intercept of the function represented.
x | 0 | 1 | 2 | 3 | 4
y | 6 | 9 | 12 | 15 | 18

The slope is 2. The y-intercept is 1.

Study the example problem showing how to write an equation using the slope and the y-intercept. Then solve problems 1-7.

Example
Chuck's Appliance Repair charges a 25 service fee plus35 for each hour the repair takes. Write an equation that relates the total cost y of a repair and the number of hours the repair takes x.

Use a table of values to find the slope and y-intercept. When x = 0, y = 25, so the y-intercept is 25. As x increases by 1, y increases by 35, so the slope is 35/1, or 35.

Hours, x | Total Cost (), y
0 | 25
1 | 60
2 | 95
3 | 130
4 | 165

You can write an equation for this function by substituting values for the slope m and the y-intercept b into the equation y = mx + b.
The equation is y = 35x + 25.

Vocabulary
slope the ratio rise/run which tells you how many units a line goes for every unit that it goes over.
y-intercept the y-coordinate of the point where a graph intersects the y-axis.

1 Check the equation in the example problem by substituting for x using one of the x-values from the table. Do you get the y-value shown in the table?

2 What do the slope and the y-intercept mean in the context of the problem?

3 Use the table to find the slope and the y-intercept of the function represented.
x | 0 | 1 | 2 | 3 | 4
y | 6 | 9 | 12 | 15 | 18

The slope is 2. The y-intercept is 1.

Added by Blanca C.

Question

Please give Ace some feedback