Question

#15 Tina began saving $75 per week to save up for a down payment on a car. After 4 weeks, she accumulated $645 total in her savings account. a. Write an equation in point-slope form that represents the scenario.b. What does the slope represent?c. Write an equation in slope-intercept form that represents this scenario.d. How much money did Tina have in her savings prio to saving for a down payment?e. How many weeks must Tina save if the down payment is $1500?

Answer 1

a. we want to write an equation in the point slope form representing this scenario.

Mathematically, the equation of a straight line graph can be written in the form;

y = mx + c

where y in this case will represent the amount accumulated over a certain number of weeks while x will be the number of weeks

Writing an equation in the point slope form is;

Thus we have ;

645 = 75(4) + c

645 = 300 + c

so c = 645 - 300 = 345

However in the point slope form, this will be;

y-645 = 75(x-4)

b. The slope represent the amount saved per week which is $75

c. In the slope intercept form, we already have this in a above

The equation in the form y = mx + c will be;

y = 75x + 300

where 75 is the slope and 300 is the y-intercept

d. The amount of money she has prior to saving is the y-intercept of the equation

This is given as $300

e. Let us go by our line equation

y -= 75x + 300

now, y is 1,500

Thus;

1500 = 75x + 300

1500-300 = 75x

75x = 1200

x = 1200/75

x = 16

It will take 16 weeks to save $1,500